In this paper we focus on the initial-boundary value problem of the 2-D isentropic Euler equations with damping. We prove the global-intime existence of classical solution to the initial-boundary value problem by the method of energy estimates. keywords: Euler equation; initial-boundary value problem; well-posedness. MSC(2000): 35A05; 35L45.

The direct inversion method for data assimilation using isentropic tracer advection M. N. Juckes British Atmospheric Data Centre, SSTD, Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire, OX11 0QX, UK Received: 15 June 2005 – Accepted: 13 July 2005 – Published: 19 September 2005 Correspondence to: M. Juckes ([email protected]) © 2005 Author(s). This work is licensed under a Creative...

It is known (see e.g. [2], [4], [5], [6]) that continuous variations in the entries of a complex square matrix induce its eigenvalues. If such variation arises from one real parameter α∈[0,1], then eigenvalues follow paths plane as α shifts 0 to 1. The intent here study nature these eigenpaths, including their behavior under small perturbations variations, well resulting eigenpairings matrices ...

Where are the r-modes of isentropic stars? ABSTRACT Almost none of the r-modes ordinarily found in rotating stars exist, if the star and its perturbations obey the same one-parameter equation of state; and rotating relativistic stars with one-parameter equations of state have no pure r-modes at all, no modes whose limit, for a star with zero angular velocity, is a perturbation with axial parity...

In this article, we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients. We focus on the case where those coefficients vanish on vacuum. We prove the stability of weak solutions for periodic domain Ω = T as well as the whole space Ω = R , when N = 2 and N = 3. The pressure is given by p = ρ , and our result holds for any γ > 1. In particular, we prove ...

SUMMARY The application of a long stroke isentropic free piston compressor as the energy source for an intermittent M = 6.85 hypersonic wind tunnel is described. The advantages of comparatively long running times of up to 0.5 s and uniform reservoir conditions at up to 90 bar and 600 K are discussed. Particular problems arising from the long stroke compression associated with both viscous flow ...