Global Behavior of Compressible Fluid with a Free Boundary and Large Data

Patrick Penel and Ivan Straškraba

A chapter in Applied Nonlinear Analysis, 2002, pp 427-442 from Springer

Abstract: Abstract The global behavior of the solutions to one-dimensional Navier-Stokes system with a free boundary is investigated for large data. It is shown that the solutions stabilize to equilibrium in general on subsequences, and completely, if the body force is such that the corresponding equilibrium is unique. Mild condition on state equation is imposed which is satisfied in important physical situations.

Keywords: Navier-Stokes equations; global behavior; free boundary; large data; compressible fluids; one-dimensional case (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_29

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DOI: 10.1007/0-306-47096-9_29

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