Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion

Details Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion

2010-12-21

arxiv.org/abs/1012.4778v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

Initial-boundary value problem for linearized equations of motion of viscous
barotropic fluid in a bounded domain is considered. Existence, uniqueness and
estimates of weak solutions to this problem are derived. Convergence of the
solutions towards the incompressible limit when compressibility tends to zero
is studied.

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