Singular limits in fluidynamics

H. Beirão Da Veiga

Displaying similar documents to “Singular limits in fluidynamics”

The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence

H. Beirão da Veiga (1994)

Annales de l'I.H.P. Analyse non linéaire

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The mathematical theory of low Mach number flows

Steven Schochet (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.

Singular limits for the compressible Euler equation in an exterior domain

Hiroshi Isozaki (1986)

Journées équations aux dérivées partielles

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Some theoretical results concerning non newtonian fluids of the Oldroyd kind

Enrique Fernández-Cara, Francisco Guillén, Rubens R. Ortega (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On global motion of a compressible barotropic viscous fluid with boundary slip condition

Takayuki Kobayashi, Wojciech Zajączkowski (1999)

Applicationes Mathematicae

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Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ $ℝ^{3}$ with the boundary slip condition is proved. The solution is close to an equilibrium solution. The proof is based on the energy method. Moreover, in the $L_{2}$ -approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to $H^{2 + α, 1 + α / 2} (Ω \times ℝ_{+})$ and the density belongs to $H^{1 + α, 1 / 2 + α / 2} (Ω \times ℝ_{+})$ , α ∈ (1/2,1).

On the barotropic motion of compressible perfect fluids

H. Beirão Da Veiga (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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