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arxiv: 1012.4778 · v1 · pith:545P642Tnew · submitted 2010-12-21 · 🧮 math.AP · math-ph· math.MP

Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion

classification 🧮 math.AP math-phmath.MP
keywords equationsfluidlinearizedmotionproblemsolutionsasymptoticbarotropic
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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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