Incompressible limit of the Hookean elastodynamics in a bounded domain

DOI10.1007/s00033-021-01523-9zbMath1468.35140OpenAlexW3140777419MaRDI QIDQ2026504

Xin Xu, Guowei Liu

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01523-9

zbMATH Keywords

elastodynamicsbounded domainincompressible limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Nonlinear elasticity (74B20) Compressible fluids and gas dynamics (76N99) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Incompressible limit of nonisentropic Hookean elastodynamics ⋮ Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics ⋮ Low Mach number limit of inviscid Hookean elastodynamics ⋮ Low Mach number limit of nonisentropic inviscid Hookean elastodynamics ⋮ Convergence rates of solutions to the compressible Hookean elastodynamics

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