Existence of suitable weak solutions to the Navier-Stokes equations in time varying domains

DOI10.1016/j.na.2017.08.003zbMath1386.35145OpenAlexW2750589120MaRDI QIDQ2402708

Hi Jun Choe, Yunsoo Jang, Minsuk Yang

Publication date: 13 September 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.08.003

zbMATH Keywords

Navier-Stokes equationssuitable weak solutionlocalized energy estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (4)

Homogenization of the Stokes System in a Domain with an Oscillating Boundary ⋮ Suitable weak solutions of the incompressible magnetohydrodynamic equations in time varying domains ⋮ The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application ⋮ The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary

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