On the Neumann problem for the nonstationary Stokes system in angles and cones

DOI10.1002/mana.202100115zbMath1527.35293MaRDI QIDQ6093833

Vladimir A. Kozlov, Jürgen Rossmann

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionsconical pointsnonstationary Stokes system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Continuation and prolongation of solutions to PDEs (35B60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Solvability of the classical initial-boundary-value problems for the heat-conduction equation in a dihedral angle
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• Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\)
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• The Dirichlet problem for non‐divergence parabolic equations with discontinuous in time coefficients in a wedge
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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