The purpose of the paper is an investigation of compactness properties of a family of solutions of a BGK-type model for near equilibrium kinetic densities for the system of the Euler equations for isentropic flows. 0.

In this paper we prove the nonexistence of global weak solutions to the compressible Navier-Stokes equations for the isentropic gas in R N , N ≥ 3, where the pressure law given by p(ρ) = aρ γ , a > 0, 1 < γ ≤

A general framework is proposed for the derivation and analysis of ux-splittings and the corresponding ux-splitting schemes for systems of conservation laws endowed with a strictly convex entropy. The approach leads to several new properties of the existing ux-splittings and to a method for the construction of entropy ux-splittings for general situations. A large family of genuine entropy ux-sp...

Despite the many studies on the dynamics of inflation, much still remains to be done in the context of understanding several aspects concerning the microscopic dynamics underlying many of the models for inflation, particularly in those cases where the inflaton is coupled to several other fields, like in hybrid inflation models and supersymmetric (SUSY) model extensions. In most of these models ...

The cut-on/cut-off transition of a slowly varying acoustic mode in a slowly varying hard-walled duct with irrotational isentropic mean flow is studied. The usual turning point behaviour was found.

Abstract Only few design guidelines for side channel compressors are published in open literature. Among those the most common ones from Grabow, Surek, and Raheel. In this publication we focus on guideline of which includes, among several analytical equations, two empirical estimates head coefficient blade angle. These lead to an uncertainty process could potentially effect performance curve ma...

A traveling wave analysis for a quantum hydrodynamic model ist performed. The isobaric, isentropic and isothermal cases are studied. In all three cases the qualitative behaviour of the solutions is analysed.

After a review of the isentropic compressible magnetohydrodynamics (ICMHD) equations, a quaternionic framework for studying the alignment dynamics of a general fluid flow is explained and applied to the ICMHD equations.

We give a complete description of nonlinear waves and their pairwise interactions in isentropic gas dynamics. Our analysis includes rarefactions, compressions and shock waves. Because the waves are arbitrarily large, we describe the change of states across the wave exactly, without resolving the characteristic patterns. We similarly describe the states between nonlinear waves in any pairwise in...

The dynamical equations of atmospheric flow are written using potential vorticity as the meridional coordinate and potential temperature as the vertical coordinate. Within this system, the atmosphere is divided into undulating tubes bounded by isentropic and constant potential vorticity surfaces, and, under adiabatic and frictionless conditions, the air moves through the tubes without penetrati...