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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT502 papers
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5 papers · 2 filters
The artificial compressibility approximation for MHD equations in unbounded domain
Donatella Donatelli
In this paper we analyze a method of to approximation for the weak solutions of the incompressible magnetohydrodynamic equations (MHD) in unbounded domains. In particular we descri…
Relative entropy in diffusive relaxation
Corrado Lattanzio, Athanasios E. Tzavaras
We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuu…
Duality methods for a class of quasilinear systems
Antonella Marini, Thomas H. Otway
Duality methods are used to generate explicit solutions to nonlinear Hodge systems, demonstrate the well-posedness of boundary value problems, and reveal, via the Hodge-Bäcklund tr…
Diffraction of Bloch Wave Packets for Maxwell's Equations
Grégoire Allaire, Mariapia Palombaro, Jeffrey Rauch
We study, for times of order 1/h, solutions of Maxwell's equations in an O(h^2) modulation of an h-periodic medium. The solutions are of slowly varying amplitude type built on Bloc…
On a differential inclusion related to the Born-Infeld equations
Stefan Müller, Mariapia Palombaro
We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integr…