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The Cauchy problem for the compressible Navier–Stokes equations in the Lp-framework

✍ Scribed by Piotr Bogusław Mucha

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
160 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

The global in time existence of regular solutions to the compressible Navier-Stokes equations in the whole space is obtained. The solutions are close to nontrivial equilibrium solutions. Moreover, the result is sharp in the Lp-framework, the velocity of the uid belongs to W 2; 1 r and the initial density to W 1 r with r ¿ 3.

📜 SIMILAR VOLUMES

Artificial Boundary Conditions for the L
Artificial Boundary Conditions for the Linearized Compressible Navier–Stokes Equations
✍ Loı̈c Tourrette 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 860 KB

The compressible Navier-Stokes equations belong to the class of incompletely parabolic systems. The general method developed by Laurence Halpern for deriving artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems is applied to the linearized compressible Navier