Poisson-Transmission Problems for $$L^{\infty }$$ L ∞ -Perturbations of the Stokes System on Lipschitz Domains in Compact Riemannian Manifolds

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-014-9359-0 ◽

2014 ◽

Vol 27 (3-4) ◽

pp. 823-839 ◽

Author(s):

Mirela Kohr ◽

Cornel Pintea ◽

Wolfgang L. Wendland

Keyword(s):

Riemannian Manifolds ◽

Stokes System ◽

Lipschitz Domains ◽

Transmission Problems

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Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201100194 ◽

2013 ◽

Vol 93 (6-7) ◽

pp. 446-458 ◽

Author(s):

M. Kohr ◽

C. Pintea ◽

W.L. Wendland

Keyword(s):

Riemannian Manifolds ◽

Besov Spaces ◽

Lipschitz Domains ◽

Transmission Problems

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On the transmission problems for the Oseen and Brinkman systems on Lipschitz domains in compact Riemannian manifolds

Mathematische Nachrichten ◽

10.1002/mana.201400365 ◽

2015 ◽

Vol 289 (4) ◽

pp. 471-484 ◽

Author(s):

Robert Gutt ◽

Mirela Kohr ◽

Cornel Pintea ◽

Wolfgang L. Wendland

Keyword(s):

Riemannian Manifolds ◽

Lipschitz Domains ◽

Transmission Problems

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Transmission Problems for the Navier–Stokes and Darcy–Forchheimer–Brinkman Systems in Lipschitz Domains on Compact Riemannian Manifolds

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-016-0273-6 ◽

2016 ◽

Vol 19 (2) ◽

pp. 203-238 ◽

Author(s):

Mirela Kohr ◽

Sergey E. Mikhailov ◽

Wolfgang L. Wendland

Keyword(s):

Riemannian Manifolds ◽

Navier Stokes ◽

Lipschitz Domains ◽

Transmission Problems

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Neumann-transmission problems for pseudodifferential Brinkman operators on Lipschitz domains in compact Riemannian manifolds

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2014.13.175 ◽

2014 ◽

Vol 13 (1) ◽

pp. 175-202 ◽

Author(s):

Mirela Kohr ◽

◽

Cornel Pintea ◽

Wolfgang L. Wendland ◽

Keyword(s):

Riemannian Manifolds ◽

Lipschitz Domains ◽

Transmission Problems

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Potential theory on lipschitz domains in riemannian manifolds: hölder continuous metric tensors

Communications in Partial Differential Equations ◽

10.1080/03605300008821557 ◽

1999 ◽

Vol 25 (7-8) ◽

pp. 1487-1536 ◽

Author(s):

Marius Mtrea ◽

Michael Taylor

Keyword(s):

Potential Theory ◽

Riemannian Manifolds ◽

Lipschitz Domains ◽

Hölder Continuous ◽

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Boundary value problems for the Brinkman system with L∞ coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.04.002 ◽

2019 ◽

Vol 131 ◽

pp. 17-63 ◽

Author(s):

Mirela Kohr ◽

Wolfgang L. Wendland

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Variational Approach ◽

Boundary Value ◽

Lipschitz Domains ◽

Brinkman System

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On Uniqueness for the Navier–Stokes System in 3D-Bounded Lipschitz Domains

Journal of Functional Analysis ◽

10.1006/jfan.2002.3902 ◽

2002 ◽

Vol 195 (1) ◽

pp. 1-11 ◽

Author(s):

Sylvie Monniaux

Keyword(s):

Stokes System ◽

Navier Stokes ◽

Lipschitz Domains ◽

Bounded Lipschitz Domains

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Potential type operators and transmission problems for strongly elliptic second-order systems in Lipschitz domains

Functional Analysis and Its Applications ◽

10.1007/s10688-009-0025-y ◽

2009 ◽

Vol 43 (3) ◽

pp. 165-183 ◽

Author(s):

M. S. Agranovich

Keyword(s):

Second Order ◽

Lipschitz Domains ◽

Transmission Problems ◽

Potential Type ◽

Second Order Systems ◽

Potential Type Operators

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A note on the Dirichlet problem for the Stokes system in Lipschitz domains

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1995-1223521-9 ◽

1995 ◽

Vol 123 (3) ◽

pp. 801-801 ◽

Author(s):

Zhong Wei Shen

Keyword(s):

Dirichlet Problem ◽

Stokes System ◽

Lipschitz Domains

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Navier-Stokes equations on Lipschitz domains in Riemannian manifolds

Mathematische Annalen ◽

10.1007/s002080100261 ◽

2001 ◽

Vol 321 (4) ◽

pp. 955-987 ◽

Author(s):

Marius Mitrea ◽

Michael Taylor

Keyword(s):

Riemannian Manifolds ◽

Stokes Equations ◽

Navier Stokes ◽

Lipschitz Domains ◽

Navier Stokes Equations

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