AbstractColombeau’s algebra of generalized functions is used to study the solutions to a single hyperbolic conservation law. In a simple setting of travelling shocks, we formulate a new interesting necessary and sufficient condition for the solution to be entropic
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws is numericall...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...
Abstract. We prove that if t 7 → u(t) ∈ BV(R) is the entropy solution to a N × N strictly hyperboli...
AbstractColombeau’s algebra of generalized functions is used to study the solutions to a single hype...
13. ABSTRACT (Maximum 200 words) A subject of investigation was the extent to which an entropy inequ...
"There is no theory for the initial value problem for compressible flows in two space dimension...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
We are concerned with entropy solutions u in L∞ of nonlinear hyperbolic systems of conservation laws...
AbstractThe author proposed (Trans. Amer. Math. Soc. 199 (1974), 89–112) the extended entropy condit...
International audienceWe prove the existence of generalized characteristics for weak, not necessaril...
This is a survey paper, written in the occasion of an invited talk given by the author at the Univer...
We consider a p-system of conservation laws that emerges in one dimensional elasticity theory. Such ...
We study one class of nonlinear fluid dynamic models with impulse source terms. The model consists o...
AbstractThis paper gives some estimates relating to the Oleinik entropy inequality for a single cons...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws is numericall...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...
Abstract. We prove that if t 7 → u(t) ∈ BV(R) is the entropy solution to a N × N strictly hyperboli...
AbstractColombeau’s algebra of generalized functions is used to study the solutions to a single hype...
13. ABSTRACT (Maximum 200 words) A subject of investigation was the extent to which an entropy inequ...
"There is no theory for the initial value problem for compressible flows in two space dimension...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
We are concerned with entropy solutions u in L∞ of nonlinear hyperbolic systems of conservation laws...
AbstractThe author proposed (Trans. Amer. Math. Soc. 199 (1974), 89–112) the extended entropy condit...
International audienceWe prove the existence of generalized characteristics for weak, not necessaril...
This is a survey paper, written in the occasion of an invited talk given by the author at the Univer...
We consider a p-system of conservation laws that emerges in one dimensional elasticity theory. Such ...
We study one class of nonlinear fluid dynamic models with impulse source terms. The model consists o...
AbstractThis paper gives some estimates relating to the Oleinik entropy inequality for a single cons...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws is numericall...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...
Abstract. We prove that if t 7 → u(t) ∈ BV(R) is the entropy solution to a N × N strictly hyperboli...
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