Free boundary problems of the incompressible Navier-Stokes equations with non-flat initial surface in the critical Besov space
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Publication:6624811
DOI10.1007/s00208-024-02823-xMaRDI QIDQ6624811
Senjo Shimizu, Takayoshi Ogawa
Publication date: 28 October 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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