Asymptotic Stability of Steady Compressible Fluids (Lecture - download pdf or read online

By Mariarosaria Padula

ISBN-10: 3642211364

ISBN-13: 9783642211362

This quantity introduces a scientific method of the answer of a few mathematical difficulties that come up within the learn of the hyperbolic-parabolic platforms of equations that govern the motions of thermodynamic fluids. it's meant for a large viewers of theoretical and utilized mathematicians with an curiosity in compressible stream, capillarity idea, and keep watch over theory.
The concentration is especially on fresh effects relating nonlinear asymptotic balance, that are autonomous of assumptions in regards to the smallness of the preliminary facts. Of specific curiosity is the lack of regulate that usually effects whilst regular flows of compressible fluids are dissatisfied by way of huge disturbances. the most principles are illustrated within the context of 3 assorted actual problems:
(i) A barotropic viscous fuel in a set area with compact boundary. The area could be both an external area or a bounded area, and the boundary will be both impermeable or porous.
(ii) An isothermal viscous fuel in a site with unfastened boundaries.
(iii) A heat-conducting, viscous polytropic gas.

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Asymptotic Stability of Steady Compressible Fluids (Lecture Notes in Mathematics) by Mariarosaria Padula

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