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Displaying similar documents to “Viscosity solutions and standard Riemann semigroup for conservation laws with boundary”

Wave front tracking in systems of conservation laws

Rinaldo M. Colombo (2004)

Applications of Mathematics

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This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front Tracking.

Guided waves in a fluid layer on an elastic irregular bottom.

Andrés Fraguela Collar (1996)

Publicacions Matemàtiques

Similarity:

In this paper one considers the linearized problem to determine the movement of an ideal heavy fluid contained in an unbounded container withelastic walls. As initial data one knows the movement of both the bottom and the free surface of the fluid and also the strength of certain perturbation, strong enough to take the bottom out of its rest state. One important point to be considered regards the influence of the bottom’s geometry on the propagation of superficial waves....

On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects

Vsevolod A. Solonnikov, Giuseppe Mulone (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces W p 2 , 1 ⁢ Q T with p > 5 / 2 and in anisotropic Holder spaces.

Well Posedness of Balance Laws with Non-Characteristic Boundary

Rinaldo M. Colombo, Massimiliano D. Rosini (2007)

Bollettino dell'Unione Matematica Italiana

Similarity:

This note presents a well posedness result for the initial-boundary value problem consisting of a nonlinear system of hyperbolic balance laws with boundary, in the non-characteristic case.