Estimates of the solutions of the elastic system in a moving domain with free upper surface

DOI10.1016/S0362-546X(01)00875-6zbMath1029.35092OpenAlexW2062800618MaRDI QIDQ1849016

Bum Ja Jin

Publication date: 28 November 2002

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/s0362-546x(01)00875-6

zbMATH Keywords

elliptic equationscompressible Navier-Stokes equationsmoving domainfree upper surface

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items

Evolution free-boundary problem for a stationary system of the theory of elasticity, Solvability of a free-boundary problem for a heterogeneous elastic body

Cites Work

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• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Large-time regularity of viscous surface waves
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Existence results for the quasistationary motion of a free capillary liquid drop
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II