Incompressible limit of nonisentropic Hookean elastodynamics

We study the incompressible limit of the compressible nonisentropic Hookean elastodynamics with general initial data in the whole space Rd(d=2,3). First, we obtain the uniform estimates of the solutions in Hs(Rd) for s > d/2 + 1 being even and the existence of classic solutions on a time interval...

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Bibliographic Details
Published in:Journal of mathematical physics 2022-06, Vol.63 (6)
Main Author: Wang, Jiawei
Format: Article
Language:English
Subjects:
Compressibility
Elastodynamics
Mach number
Physics
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Summary:We study the incompressible limit of the compressible nonisentropic Hookean elastodynamics with general initial data in the whole space Rd(d=2,3). First, we obtain the uniform estimates of the solutions in Hs(Rd) for s > d/2 + 1 being even and the existence of classic solutions on a time interval independent of the Mach number. Then, we prove that the solutions converge to the incompressible elastodynamic equations as the Mach number tends to zero.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0080539