Local and global existence theorems of entropy-regular-solutions in the geometric framework of MHD-PDE's, recently introduced by A.Pr\'astaro, are given. Stability properties of such solutions are studied. In particular it is shown how to stabilize the smooth entropy-regular-solutions, in order to avoid finite-times unstabilities
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for...
Abstract. This paper concerns the existence and regularity of entropy solu-tions to the Dirichlet pr...
Abstract. We prove the existence of global entropy solutions in L ∞ to the multidimensional Euler eq...
This paper is the second part of a work devoted to the algebraic topological characterization of PDE...
In this paper we show that between PDE's and crystallographic groups there is an unforeseen relation...
In this paper we show that between PDE's and crystallographic groups there is an unforeseen relation...
International audienceThe stability of stationary solutions of first-order systems of PDE's are cons...
We show at the PDE level that the monolithic parabolic regularization of the equations of ideal magn...
AbstractConsider a linearly degenerate hyperbolic system of rich type. Assuming that each eigenvalue...
The paper recalls two of the regularity results for Burgers’ equation, and discusses what happens in...
We are concerned with entropy solutions of hyperbolic systems of conservation laws in several space ...
Abstract. In this paper, we start a general study on relaxation hyperbolic systems which violate the...
We are interested in properties of the multidimensional Euler equations for compressible fluids. Rar...
Abstract. The global stability of rarefaction waves in a broad class of entropy solutions in L ∞ con...
A well-posedness theory has been established for entropy solutions to strictly hyperbolic systems of...
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for...
Abstract. This paper concerns the existence and regularity of entropy solu-tions to the Dirichlet pr...
Abstract. We prove the existence of global entropy solutions in L ∞ to the multidimensional Euler eq...
This paper is the second part of a work devoted to the algebraic topological characterization of PDE...
In this paper we show that between PDE's and crystallographic groups there is an unforeseen relation...
In this paper we show that between PDE's and crystallographic groups there is an unforeseen relation...
International audienceThe stability of stationary solutions of first-order systems of PDE's are cons...
We show at the PDE level that the monolithic parabolic regularization of the equations of ideal magn...
AbstractConsider a linearly degenerate hyperbolic system of rich type. Assuming that each eigenvalue...
The paper recalls two of the regularity results for Burgers’ equation, and discusses what happens in...
We are concerned with entropy solutions of hyperbolic systems of conservation laws in several space ...
Abstract. In this paper, we start a general study on relaxation hyperbolic systems which violate the...
We are interested in properties of the multidimensional Euler equations for compressible fluids. Rar...
Abstract. The global stability of rarefaction waves in a broad class of entropy solutions in L ∞ con...
A well-posedness theory has been established for entropy solutions to strictly hyperbolic systems of...
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for...
Abstract. This paper concerns the existence and regularity of entropy solu-tions to the Dirichlet pr...
Abstract. We prove the existence of global entropy solutions in L ∞ to the multidimensional Euler eq...
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