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An initial boundary value problem in ideal Magneto-Hydrodynamics
We consider the initial-boundary value problem for the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary...
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Some properties of anisotropic Sobolev spaces
In the theory of mixed problems for symmetric hyperbolic systems under characteristic boundary conditions, and in particular the equations of ideal...
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On the boundary value problem in a dihedral angle for normally hyperbolic systems of first order
Some structural properties as well as a general three-dimensional boundary value problem for normally hyperbolic systems of partial differential...
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Singularly Perturbed Linear and Semilinear Hyperbolic Systems: Kinetic Theory Approach to Some Folk’s Theorems
The fact that a solution of a wave equation with strong dam** can be approximated by a solution of an appropriate diffusion equation has been...
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The Generalized Riemann Problem for Quasilinear Hyperbolic Systems of Conservation Laws
A general framework with some successful applications is presented in this paper for proving that the generalized Riemann problem for quasilinear... -
Adaptive data distribution for concurrent continuation
Continuation methods compute paths of solutions of nonlinear equations that depend on a parameter. This paper examines some aspects of the...
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Stability of Multi-Dimensional Weak Shocks
In this paper we discuss the stability of weak shocks for a class of multi-dimensional systems of conservation laws, containing Euler’s equations of...