The generalization of a class of low-dissipative high order filter finite difference methods for long time wave propagation of shock/turbulence/combustion compressible viscous gas dynamic flows to compressible MHD equations for structured curvilinear grids has been achieved. The new scheme is shown to provide a natural and efficient way for the minimization of the divergence of the magnetic fie...

Bidimensional incompressible viscous flows with well-localised vorticity are well-known to develop vortex structures. The purpose of the present paper is to recover the asymptotic profiles describing these phenomena for homogeneous finite-energy flows as asymptotic profiles for near-equilibrium isentropic compressible flows. This task is performed by extending the sharp description of the asymp...

We propose a new approach to models of general compressible viscous fluids based on the concept dissipative solutions. These are weak solutions satisfying underlying equations modulo defect measure. A solution coincides with strong as long latter exists (weak–strong uniqueness) and they solve problem in classical sense soon smooth (compatibility). We consider non–li...