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Publikationen

Veröffentlichungsliste/List of publications

PhD thesis

"Stokes Equations in Asymptotically Flat Domains and the Motion of a Free Surface", Dissertation, TU Darmstadt, Shaker Verlag, Aachen, 2003.

Habilitation thesis

"Diffuse Interface Models for Two-Phase Flows of Viscous, Incompressible Fluids"

Books, Book Chapters and Reviews

  1. Book review: Alain Miranville: “The Cahn–Hilliard Equation: Recent Advances and Applications”, Jahresbericht der Deutschen Mathematiker-Vereinigung, 123(1), 57-62, 2021; DOI 10.1365/s13291-020-00224-y
  2. "Pseudodifferential and Singular Integral Operators", Graduate Lecture, DeGruyter, 2011
  3. Chapter "Weak solutions and diffuse interface models for incompressible two-phase flows" ,with Harald Garcke, doi:10.1007/978-3-319-10151-4_29-1, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer; Preprint 2015 , pp 1-60, 2016

Journal articles

  1. "Lq-Lr-estimates for non-stationary Stokes equations in an aperture domain", Z. Anal. Anwend. 21, No. 1, pp. 159-178, 2002.
  2. "Bounded imaginary powers of the Stokes operator in an infinite layer", J. Evol. Eq. 2, pp. 439-457, 2002
  3. "Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions", Math. Nachr. 279, No. 4, pp. 1-17, 2006
  4. "Reduced and generalized Stokes resolvent equations in asymptotically flat layers, part I: unique solvability", J. Math. Fluid Mech. 7 No. 2, pp. 201-222, 2005
  5. "Reduced and generalized Stokes resolvent equations in asymptotically flat layers, part II: Hinfty-calculus", J. Math. Fluid Mech. 7 No. 2, pp. 223-260, 2005
  6. "The initial value problem for the Navier-Stokes equations with a free surface in Lq-Sobolev spaces", Adv. Diff. Eq. 10. No. 1, pp. 45-64, 2005.
  7. "Pseudodifferential boundary value problems with non-smooth coeffficients", Comm. Part. Diff. Eq. 30, pp. 1463-1503, 2005
  8. "Bounded imaginary powers and Hinfty-calculus of the Stokes operator in two-dimensional exterior domains", Math. Z. 251 No. 3, pp. 589-605, 2005
  9. "Resolvent estimates for the Stokes operator on an infinite layer" with M. Wiegner, Diff. Int. Eq. 18 No. 10, pp. 1081-1110, 2005
  10. "On generalized solutions of two-phase flows for viscous incompressible fluids", Interfaces Free Bound. 9 No. 1, pp. 31-65, 2007
  11. "An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control" with M. Kassmann, J. Diff. Eq. 236 No. 1, pp. 29-56, 2007
  12. "Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy" with Mathias Wilke, Nonlinear Anal. 67 No. 11, pp. 3176-3193, 2007
  13. "On the trace space of a Sobolev space with a radial weight" with M. Krbec and K. Schumacher, J. Funct. Spaces Appl. 6, No. 3, 259-276 ,2008
  14. "On a diffuse interface model for a two-phase flow of compressible viscous fluids" with E. Feireisl, Indiana Univ. Math. J. 57 No. 2, pp. 659-698, 2008
  15. "On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities", Arch. Rational Mech. Anal. 194, No. 2, 463-506, 2009, DOI 10.1007/s00205-008-0160-2
  16. "On hypoellipticity of generators of Levy processes" with R. Husseini, Ark. Mat. 48 No. 2, 2010, pp. 231-242 DOI 10.1007/s00205-008-0160-2
  17. "On Stokes operators with variable viscosity in bounded and unbounded domains" with Y. Terasawa, Math. Ann. 344, No. 2, pp. 381-429 , 2009 DOI 10.1007/s00208-008-0311-7
  18. "The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels" with M. Kassmann, Osaka J. Math. 46, pp. 1-23, 2009
  19. "Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities", Comm. Math. Phys. Vol. 289, No. 1, pp. 45-73, 2009
  20. "Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids" with M. Röger, Annales de l'Institut Henri Poincare (C) Non Linear Analysis Vol. 26, pp. 2403-2424, 2009, DOI 10.1016/j.anihpc.2009.06.002
  21. "Nonstationary Stokes system with variable viscosity in bounded and unbounded domains", Discrete Contin. Dyn. Syst. Ser. S (Special volume in honour of V.A. Solonnikov) Vol. 3, No. 2, pp. 141-157, 2010, doi:10.3934/dcdss.2010.3.141
  22. "Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses" with Y. Terasawa, Math. Methods Appl. Sci., Vol. 33., No. 13, pp. 1532-1544, 2010
  23. "The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity" with M.G. Mora and S. Müller, Calc. Var., Vol. 41, No. 1-2, pp. 241-259, 2011 DOI: 10.1007/s00526-010-0360-0
  24. "Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities" with H. Garcke and G. Grün, Mathematical Models and Methods in Applied Sciences, Vol. 22, No. 3, 1150013 (40 pages), 2012; Preprint: arXiv:/1104.1336,
  25. "Large time existence for thin vibrating plates" with M.G. Mora and S. Müller, Comm. Partial Differential Equations 36, pp. 2062-2102, 2011
  26. "Strong Well-Posedness of a Diffuse Interface Model for a Viscous, Quasi-Incompressible Two-Phase Flow", SIAM J. Math. Anal. 44, No.1, pp. 316-340, 2012; DOI: 10.1137/110829246, Preprint.
  27. "Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities" with D. Depner and H. Garcke, J. Math. Fluid Mech., Vol. 15, No. 3, pp. 453-480, 2013, Preprint arXiv:/1111.2493
  28. "Well-Posedness and Qualitative Behaviour of Solutions for a Two-Phase Navier-Stokes-Mullins-Sekerka System" with M. Wilke, Interfaces Free Bound., Vol. 15, No. 1, pp. 39–75, 2013 DOI: 10.4171/IFB/294; Preprint, arXiv:/1201.0179.
  29. "On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility" with D. Depner and H. Garcke, Annales de l'Institut Henri Poincare (C) Non Linear Analysis Ann. Vol. 30, No. 6, pp. 1175-1190, 2013 ; Preprint, arXiv:/1210.1011.
  30. "Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows" with L. Diening and Y. Terasawa, Nonlinear Analysis Series B: Real World Applications, Vol. 15, pp. 149–157, 2014; Preprint: arXiv:/1302.3107.
  31. "Extension theory and Krein-type resolvent formulas for nonsmooth boundary value problems" with G. Grubb and I. G. Wood, Journal of Functional Analysis, Vol. 266, No. 7, pp. 4037–4100; Preprint, arXiv:1008.3281
  32. "Cahn-Hilliard Equation with Nonlocal Singular Free Energies" with S. Bosia and M. Grasselli, Annali di Matematica Pura ed Applicata Vol. 194 pp 1071 - 1106, 2015; Preprint, arXiv:1311.3642/.
  33. Appendix to "Spectral Asymptotics for Nonsmooth Singular Green Operators" by G. Grubb, Communications in Partial Differential Equations , Vol. 39, pp. 530–573, 2014; Preprint, arXiv:1205.0094/.
  34. "On Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows" with D. Lengeler, Interfaces Free Bound. Vol. 16, No. 3, pp. 395–-418, 2014 ; Preprint, arXiv:/1212.5582.
  35. "Well-posedness of a fully-coupled Navier-Stokes/Q-tensor system with inhomogeneous boundary data" with G. Dolzmann and Y. Liu, SIAM J. Math. Anal., Vol. 46, No. 4, pp. 3050–3077, 2014; preprint, arXiv:1311.3443/.
  36. "Sharp Interface Limit for the Cahn-Larche System" with S. Schaubeck, Asymptotic Analysis, Vol. 91, pp. 283-–340, 2015; preprint: arXiv:1403.1151/
  37. "Classical Solutions for a Modified Hele-Shaw Model with Elasticity" with S. Schaubeck, Z. Angew. Math. Mech. 95, No. 12, 1411–1427 (2015).
  38. "Stability of Spherical Caps under the Volume-Preserving Mean Curvature Flow with Line Tension" with H. Garcke and L. Müller, Nonlinear Analysis, Vol. 117, pp. 8-–37, 2015; preprint arXiv:/1403.1139
  39. "On convergence of solutions to equilibria for fully nonlinear parabolic problems with nonlinear boundary conditions" with N. Arab and H. Garcke, J. Evol. Eq., Vol. 15(4), pp.  913-959, 2015, DOI: 10.1007/s00028-015-0287-1; Preprint arXiv:/1403.4526
  40. "Local Well-Posedness for Volume-Preserving Mean Curvature and Willmore Flows with Line Tension" with H. Garcke and L. Müller Math. Nachr. Vol. 289, No. 2–3, pp. 136–174 (2016)/ DOI 10.1002/mana.201400102; Preprint arXiv:1403.1132/
  41. "Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions" with G. Dolzmann and Y. Liu, Adv. Diff. Eq. 21, No. 1-2, pp. 109-153, 2015; Preprint arXiv:1312.5988/.
  42. "Analysis of the diffuse domain approach for a bulk-surface coupled PDE system" with Kei Fong Lam, Björn Stinner, SIAM J. Math. Anal., 47(5), 3687–3725; 2015; Preprint arXiv:1502.04902/.
  43. "Weak Solutions for a Non-Newtonian Diffuse Interface Model with Different Densities" with D.Breit, Preprint arXiv:/1509.05663, Nonlinearity Vol. 29, pp. 3426–3453, 2016
  44. "Spectral Invariance of Non-Smooth Pseudodifferential Operators" with Christine Pfeuffer, Preprint arxiv.org/abs/1512.08795, Integral Equations Operator Theory, Volume 86, Issue 1, pp 41–70, 2016 DOI 10.1007/s00020-016-2315-0
  45. "Characterization of Non-Smooth Pseudodifferential Operators" with
    Christine Pfeuffer, Journal of Fourier Analysis and Applications, "24(2), pp. 371-415" (2017). doi:10.1007/s00041-017-9529-7, Preprint arxiv.org/abs/1512.01127, 
  46. "Sharp Interface Limit for a Stokes/Allen-Cahn System" with Yuning Liu, Arch. Rational Mech. Anal. 229(1), 2018, DOI:10.1007/s00205-018-1220-x, Preprint http://arxiv.org/abs/1611.04422
  47. "Well-Posedness of a Navier-Stokes/Mean Curvature Flow system" with Maximilian Moser, Mathematical analysis in fluid mechanics—selected recent results, 1–23, Contemp. Math., 710, Amer. Math. Soc., Providence, RI, 2018. Preprint https://arxiv.org/abs/1705.10832
  48. "Existence of Weak Solutions for a Diffuse Interface Model for
    Two-Phase Flow with Surfactants    " with Harald Garcke and Josef Weber, doi: 10.3934/cpaa.2019011, Communications on Pure and Applied Analysis 18(1), pp. 195-225, 2019, Preprint http://arxiv.org/abs/1710.03082
  49. "A Phase-Field Model for Fluid-Structure-Interaction" with Dominik Mokbel and Sebastian Aland, Journal of Computational Physics, Volume 372, pp. 823-840, 2018, https://doi.org/10.1016/j.jcp.2018.06.063, Preprint http://arxiv.org/abs/1803.02354
  50. "Standard Planar Double Bubbles are Stable under Surface Diffusion Flow" with N. Arab and H. Garcke, Comm. Anal. Geom., Vol. 29, No. 5, 1007-1060, 2021, DOI: https://dx.doi.org/10.4310/CAG.2021.v29.n5.a1; Preprint arXiv:/1505.02979 .
  51. "Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds" with Carolina Neira Jiménez, Preprint http://arxiv.org/abs/1709.04157  Journal of Pseudo-Differential Operators and Applications, Volume 10, Issue 2, pp 415-453,http://link.springer.com/article/10.1007/s11868-018-0268-6, 2019
  52. "Pressure Reconstruction for Weak Solutions of the Two-Phase Incompressible Navier--Stokes Equations with Surface Tension" with Johannes Daube and Christiane Kraus, Preprint http://arxiv.org/abs/1801.04840 "Asymptotic Analysis" 113 (2019) 51–86
    DOI 10.3233/ASY-181507.
  53. "On a Model for Phase Separation on Biological Membranes and its Relation to the Ohta-Kawasaki Equation" with Johannes Kampmann, European J. Appl. Math. Vol. 31, Issue 2, pp. 297-338, 2020, DOI:http://dx.doi.org/10.1017/S0956792519000056, Preprint https://arxiv.org/abs/1810.06654,
  54. "Fredholm Property of Non-Smooth Pseudodifferential Operators" with Christine Pfeuffer, Math. Nachr., 2020;293:822–846 https://doi.org/10.1002/mana.201800361 , Preprint http://arxiv.org/abs/1806.01113.
  55. "Convergence of the Allen-Cahn Equation to the Mean Curvature Flow
    with $90^\circ$-Contact Angle in 2D" with Maximilian Moser, Interfaces Free Bound., Vol. 21, No. 3, pp. 313–365, 2019, DOI: 10.4171/IFB/425, Preprint http://arxiv.org/abs/1806.02065
  56. "Short Time Existence for the Curve Diffusion Flow with a Contact Angle"
    with Julia Butz, J. Diff. Eq. Vol. 268 Issue 1, pp. 318-352, 2019, DOI:
    https://doi.org/10.1016/j.jde.2019.08.018, preprint:
    https://arxiv.org/abs/1810.01502.
  57. "Existence of Weak Solutions for a Sharp Interface Model for Phase Separation on Biological Membranes" with Johannes Kampmann, Discrete Contin. Dyn. Syst. Ser. S. ; Vol. 14, No. 1, pp. 331-351, 2021; doi: 10.3934/dcdss.2020325
  58. "Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of
    Incompressible Fluids with Different Densities and Nonlocal Free Energies" with Yutaka Terasawa, Math Meth Appl Sci. Vol. 43, Issue 6, pp. 3200-3219, 2020 https://doi.org/10.1002/mma.6111; Preprint http://arxiv.org/abs/1806.01030
  59. "A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle" with Julia Butz, SIAM J. Math. Anal., Vol. 52, No. 3, pp. 2592-2623, 2020; DOI: 10.1137/19M1242914, Preprint http://arxiv.org/abs/1810.07257
  60. "Well-Posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact" with Maximilian Rauchecker and Mathias Wilke, Math. Ann. (2020) DOI: 10.1007/s00208-020-02007-3 , Preprint https://arxiv.org/abs/1902.03611
  61. "On a linearized Mullins-Sekerka/Stokes system for two-phase flows" with Andreas Marquardt, Discrete Contin. Dyn. Syst. Ser. S, 2020, doi: 10.3934/dcdss.2020467; Preprint https://arxiv.org/abs/2006.01654

  62. "On the Sharp Interface Limit of a Model for Phase Separation on Biological Membranes" with Johannes Kampmann, Analysis vol. 41, no. 1, 2021, pp. 37-60, DOI:10.1515/anly-2019-0019, Preprint https://arxiv.org/abs/1811.12489

  63. "Local Well-Posedness of a Quasi-Incomressible Two-Phase Flow." with Josef Weber, Journal Evol. Equ., vol. 21, pp. 3477-3502, 2021, https://doi.org/10.1007/s00028-020-00646-2 Preprint: https://arxiv.org/abs/2006.14251

  64. "Well posedness of the Muskat problem in subcritical Lp-Sobolev spaces" with Bogdan-Vasile Matioc, European J. of Appl. Math., vol. 33, no. 2, pp.224-266, 2022; DOI:10.1017/S0956792520000480, Preprint https://arxiv.org/abs/2003.07656

  65. "Sharp Interface Limit of a Stokes/Cahn-Hilliard System, Part II:
    Approximate Solutions" with Andreas Marquardt, "J. Math. Fluid Mech. Vol. 23, Article number: 38, (2021), doi: https://doi.org/10.1007/s00021-021-00565-3;" , Preprint http://arxiv.org/abs/2003.14267

  66. "Sharp Interface Limit of a Stokes/Cahn-Hilliard System, Part I: Convergence Result" with Andreas Marquardt,  Interfaces Free Bound. pp. 353-402, Vol. 23, 2021; DOI 10.4171/IFB/457 Preprint http://arxiv.org/abs/2003.03139.

  67. "Invariance of the Fredholm Index and Spectrum of Non-Smooth
    Pseudodifferential Operators" with Christine Pfeuffer, Analysis and Applications, vol.20, no. 3, pp. 429-464, 2022, doi.org/10.1142/S0219530521500111, Preprint http://arxiv.org/abs/2003.00966

  68. "Convergence of the Allen-Cahn equation with a nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle close to 90°", with Maximilian Moser, SIAMJ. Math. Anal., vol. 54, no.1, pp. 114–172, 2022. Preprint http://arxiv.org/abs/2105.08434

  69. "(Non-)Convergence of Solutions of the Convective Allen-Cahn Equation", Helmut Abels, Partial Differ. Equ. Appl., vol. 3, no. 1, Paper No. 1, 11 pp, 2022. https://doi.org/10.1007/s42985-021-00140-5; Preprint https://arxiv.org/abs/2102.10057.

  70. "Large Times Existence for Thin Vibrating Rods" with Tobias Ameismeier, Asymptotic Analysis vol. 131, No. 3-4, pp. 471–512, 2023, DOI10.3233/ASY-221778 , Preprint http://arxiv.org/abs/2109.11618

  71. "Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities" with Yutaka Terasawa, Preprint: http://arxiv.org/abs/2201.06101 , Discrete Contin. Dyn. Syst. Ser. S vol. 15, no.8, pp. 1871-1881, 2022.

  72. "Convergence of Thin Vibrating Rods to a Linear Beam Equation" with Tobias Ameismeier, "Z. Angew. Math. Phys. 73, article no.166, 2022. https://doi.org/10.1007/s00033-022-01803-y", Preprint http://arxiv.org/abs/2110.01064

  73. "On a fluid-structure interaction problem for plaque growth" with Yadong Liu, Nonlinearity, Vol. 36, No. 1, pp. 537-583, 2023; doi: https://doi.org/10.1088/1361-6544/aca5e1, Preprint https://arxiv.org/abs/2110.00042  

  74. "On a fluid-structure interaction problem for plaque growth: cylindrical domain" with Yadong Liu, Journal of Differential Equations, vol. 345, pp. 334–400, 2023,doi: https://doi.org/10.1016/j.jde.2022.11.046; Preprint https://arxiv.org/abs/2112.12538 .

  75. "Fractional-Order Operators on Nonsmooth Domains" with Gerd Grubb, Preprint http://arxiv.org/abs/2004.10134 , published online in J. LondonMath. Soc., DOI:10.1112/jlms.12712.

  76. "Short Time Existence for Coupling of Scaled Mean Curvature Flow and Diffusion" with Felicitas Bürger and Harald Garcke,  J. Evol. Equ., vol. 23, article no. 14, 46 pp.,  2023, https://doi.org/10.1007/s00028-022-00861-z. Preprint https://arxiv.org/abs/2204.07626

  77. "Qualitative Properties for a System Coupling Scaled Mean Curvature Flow and Diffusion" with Felicitas Bürger and Harald Garcke,  J. Differential Equations, vol. 345,pp. 334–400, 2023, https://doi.org/10.1016/j.jde.2022.11.046 Preprint https://arxiv.org/abs/2205.02493

  78. "Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System with Different Viscosities" with Mingwen Fei, SIAM J. Math. Anal., Vol. 55, No. 4, pp. 4039-4088, 2023, doi:10.1137/22M1523698, Preprint: http://arxiv.org/abs/2201.09343

  79. "Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities" with Harald Garcke and Andrea Giorgini, Math. Ann. (2023). https://doi.org/10.1007/s00208-023-02670-2; Preprint http://arxiv.org/abs/2209.10836  

  80. "Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth" with Yadong Liu, Advances in Nonlinear Analysis, vol. 12, no. 1, 2023, pp.20230101. https://doi.org/10.1515/anona-2023-0101; preprint: https://arxiv.org/abs/2208.06280.

  81. "Sharp Interface Limit for a Navier-Stokes/Allen-CahnSystem in the Case of a Vanishing Mobility" with Mingwen Fei and Maximilian Moser, Preprint: https://arxiv.org/abs/2304.12096, accepted for publication in Calc. Var. Partial Differential Equations.

  82. "Mathematical Analysis of a Diffuse Interface Modelfor Multi-Phase Flows  of Incompressible Viscous Fluids with Different Densities" with Harald Garcke and Andrea Poiatti, J. Math. Fluid Mech. (2024) 26:29; https://doi.org/10.1007/s00021-024-00864-5, Preprint: https://arxiv.org/abs/2308.11813

Preprints, submitted

  1. "Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator" with Christoph Hurm, Preprint: https://arxiv.org/abs/2307.02264

  2. "Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System" with Julian Fischer and Maximilian Moser, Preprint: http://arxiv.org/abs/2311.02997

  3. "Existence of Weak Solutions to aCahn-Hilliard-Biot System" with Jonas Haselböck and Harald Garcke, Preprint: http://arxiv.org/abs/2403.07515

  4. "Low Mach Number Limit of a Diffuse Interface Model for Two-Phase Flows of Compressible Viscous Fluids" with Yadong Liu and Šárka Nečasová, Preprint: https://arxiv.org/abs/2402.04372

Preprints, not submitted

  1. "Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities" with H. Garcke and G. Grün, Preprint, arXiv:/1011.0528

Proceedings contributions

  1. "Reduced Stokes equations and bounded Hinfty-calculus", Proc. EquaDiff 2003, World Scientific, pp. 365-370, 2005.
  2. "Bounded imaginary powers and Hinfty-calculus of the Stokes operator in unbounded domains", Proceedings of the Conference Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann, Zürich, June 28-30, 2004. Progress in Nonlinear Diff. Eqns and their applications, Volume 64
  3. "The Stokes equations in asymptotically flat layers", Proceedings of the Conference ``Regularity and other Qualitative Aspects of the Navier-Stokes Equations'', Bedlewo, Poland, 2003, Banach Center Publications Volume 70, 9-19. 2005
  4. "On the notion of generalized solutions of viscous incompressible two-phase flows", Proceedings of the Kyoto Conference on ``Navier-Stokes equations and their Applications'', RIMS Kôkyûroku Bessatsu B1, 1-19, 2007.
  5. "Diffuse interface models for immiscible, viscous, incompressible fluids: modeling and mathematical properties", Proceedings of the ``International Conference on Multiphase Flows (ICMF 2007)'', Leipzig, 6 pages, 2007
  6. "Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system", Proceedings of the Conference ``Nonlocal and Abstract Parabolic Equations and their Applications'', Bedlewo, Poland, 2007, Banach Center Publ. Volume 86, 9-19, 2009
  7. "Double obstacle limit for a Navier-Stokes/Cahn-Hilliard system", in "Parabolic Problems. The Herbert Amann Festschrift'', Progress in Nonlinear Differential Equations and Their Applications, Vol. 80 , 1-20 Birkhäuser/Springer Basel AG, Basel, 2011.
  8. "Thin Vibrating Plates: Long Time Existence and Convergence to the von Karman Plate Equations" with M.G. Mora und S. Müller, GAMM-Mitt. 34, No. 1, 97 – 101 (2011) DOI 10.1002/gamm.201110015
  9. "Stationary Solutions for a Navier-Stokes/Cahn-Hilliard System with Singular Free Energies"  with J. Weber, Proceedings of ICMFD in "Recent
    Developments of Mathematical Fluid Mechanics" Series: Advances in
    Mathematical Fluid Mechanics, pp. 25-41, Birkhäuser-Verlag, 2016. And
    "Existance of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows" with Y. Terasawa, and Lars Diening, Proceedings of ICMFD in "Recent Developments of Mathematical Fluid Mechanics" Series: Advances in Mathematical Fluid Mechanics, pp. 13 - 23, Birkhäuser-Verlag, 2016.
  10. "Nonconvergence of the Capillary Stress Functional for Solutions of the
    Convective Cahn-Hilliard Equation    " with S. Schaubeck, in "Proceedings of International Conference on Mathematical Fluid Dynamics, Present and Future", pp. 3-23, Springer Proceedings in Mathematics and Statistics 2016
  11. "Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities" with Harald Garcke, Günther Grün and Stefan Metzger in "Transport Processes at Fluidic Interfaces". Series: Advances in Mathematical Fluid Mechanics, pp. 203 - 229, Birkhäuser Verlag 2017
  12. "Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids" with Yuning Liu and Andreas Schöttl in "Transport Processes at Fluidic Interfaces". Series: Advances in Mathematical Fluid Mechanics, pp. 231 - 253, Birkhäuser Verlag 2017
  13. "Two-Phase Flow with Surfactants: Diffuse Interface Models and Their Analysis" with Harald Garcke, Kei Fong Lam and Josef Weber in "Transport Processes at Fluidic Interfaces". Series: Advances in Mathematical Fluid Mechanics, pp. 255 - 270, Birkhäuser Verlag 2017
  14. "The Sharp-Interface Limit of the Navier-Stokes-Korteweg Equations" with Johannes Daube, Christiane Kraus und Dietmar Kröner, in "Theory, Numerics and Applications of Hyperbolic Problems I", pp. 1-13, Springer Proceedings in Mathematics and Statistics 2018

Saskia Lindenberg - 03.04.2024 10:30

  1. STARTSEITE UR

Fakultät für Mathematik

Prof. Dr. Helmut Abels

Samm2015 Abels

Kontakt:
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Tel. 0941/943-4288
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