AbstractGlobal existence of a 2 × 2 system of nonstrictly hyperbolic conservation laws is established for data in L∞. This system is a particular case in a canonical class of conservation laws with an isolated umbilic point (a point in the state space where strict hyperbolicity fails). The proof uses compensated compactness to obtain the convergence of the viscosity method and involves a detailed analysis of the entropy functions which can become singular near the umbilic point
We study the compactness in L1loc of the semigroup mapping (St)t>0 defining entropy weak solution...
We study the compactness in $L^{1}_{loc}$ of the semigroup mapping $(S_t)_{t > 0}$ defining entropy ...
AbstractA convergence theorem for the vanishing viscosity method and for the Lax-Friedrichs schemes,...
AbstractGlobal existence of a 2 × 2 system of nonstrictly hyperbolic conservation laws is establishe...
We continue to study hyperbolic systems of conservation laws with umbilic degeneracy. We further ext...
We continue to study hyperbolic systems of conservation laws with umbilic degeneracy. We further ext...
In this paper a compactness framework for approximate solutions to nonlinear hyper-bolic systems wit...
In this paper we study a special case of the initial value problem for a 2×2 system of nonstrictly h...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
We are concerned with a strictly hyperbolic system of conservation laws ut + f(u)x = 0, where u runs...
International audienceA system of conservation laws admitting an additional convex conservation law ...
AbstractWe study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly ...
Abstract. We discuss some recent developments and ideas in studying the com-pactness and asymptotic ...
We study the compactness in View the MathML sourceLloc1 of the semigroup mapping (St)t>0(St)t>0 defi...
. The Cauchy problem for a special class of 2 \Theta 2 systems of conservation laws with data in L ...
We study the compactness in L1loc of the semigroup mapping (St)t>0 defining entropy weak solution...
We study the compactness in $L^{1}_{loc}$ of the semigroup mapping $(S_t)_{t > 0}$ defining entropy ...
AbstractA convergence theorem for the vanishing viscosity method and for the Lax-Friedrichs schemes,...
AbstractGlobal existence of a 2 × 2 system of nonstrictly hyperbolic conservation laws is establishe...
We continue to study hyperbolic systems of conservation laws with umbilic degeneracy. We further ext...
We continue to study hyperbolic systems of conservation laws with umbilic degeneracy. We further ext...
In this paper a compactness framework for approximate solutions to nonlinear hyper-bolic systems wit...
In this paper we study a special case of the initial value problem for a 2×2 system of nonstrictly h...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
We are concerned with a strictly hyperbolic system of conservation laws ut + f(u)x = 0, where u runs...
International audienceA system of conservation laws admitting an additional convex conservation law ...
AbstractWe study the existence of solutions to the Cauchy problem for a non-homogeneous nonstrictly ...
Abstract. We discuss some recent developments and ideas in studying the com-pactness and asymptotic ...
We study the compactness in View the MathML sourceLloc1 of the semigroup mapping (St)t>0(St)t>0 defi...
. The Cauchy problem for a special class of 2 \Theta 2 systems of conservation laws with data in L ...
We study the compactness in L1loc of the semigroup mapping (St)t>0 defining entropy weak solution...
We study the compactness in $L^{1}_{loc}$ of the semigroup mapping $(S_t)_{t > 0}$ defining entropy ...
AbstractA convergence theorem for the vanishing viscosity method and for the Lax-Friedrichs schemes,...
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