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
In this report, we define the conservation form of PDF with initial data .We noticed that even thoug...
For general hyperbolic systems of conservation laws we show that dissipative weak solutions belongin...
summary:A generalized concept of sign is introduced in the context of Colombeau algebras. It extends...
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...
We consider a p-system of conservation laws that emerges in one dimensional elasticity theory. Such ...
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws is numericall...
AbstractA generalized entropy functional was introduced in [T.-P. Liu, T. Yang, A new entropy functi...
The paper describes the qualitative structure of BV entropy solutions of a general strictly hyperbol...
International audienceWe prove the existence of generalized characteristics for weak, not necessaril...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
AbstractThe author proposed (Trans. Amer. Math. Soc. 199 (1974), 89–112) the extended entropy condit...
AbstractThis paper contains a proof of the existence and uniqueness of solutions to the Riemann prob...
In this report, we define the conservation form of PDF with initial data .We noticed that even thoug...
For general hyperbolic systems of conservation laws we show that dissipative weak solutions belongin...
summary:A generalized concept of sign is introduced in the context of Colombeau algebras. It extends...
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...
We consider a p-system of conservation laws that emerges in one dimensional elasticity theory. Such ...
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws is numericall...
AbstractA generalized entropy functional was introduced in [T.-P. Liu, T. Yang, A new entropy functi...
The paper describes the qualitative structure of BV entropy solutions of a general strictly hyperbol...
International audienceWe prove the existence of generalized characteristics for weak, not necessaril...
AbstractIn this paper we propose an extended entropy condition for general systems of hyperbolic con...
AbstractWe discuss hyperbolic systems of nonlinear conservation laws in one space variable, for whic...
AbstractThe author proposed (Trans. Amer. Math. Soc. 199 (1974), 89–112) the extended entropy condit...
AbstractThis paper contains a proof of the existence and uniqueness of solutions to the Riemann prob...
In this report, we define the conservation form of PDF with initial data .We noticed that even thoug...
For general hyperbolic systems of conservation laws we show that dissipative weak solutions belongin...
summary:A generalized concept of sign is introduced in the context of Colombeau algebras. It extends...