Add to ORKGAbstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L1–stability. New multidimensional features are recognized, especially including nonlinear propagations of oscillations with high frequencies. The validity of nonlinear geometric optics for entropy solutions in L ∞ of multidimensional scalar con-servation laws is justified. 1
International audienceWe propose new entropy admissibility conditions for multidimensional hyperboli...
No. (will be inserted by the editor) Homogenization of nonlinear scalar conservation laws Anne-Laure...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...
Abstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of ...
AbstractNonlinear geometric optics with various frequencies for entropy solutions only in L∞ of mult...
International audienceNonlinear geometric optics with various frequencies for entropy solutions only...
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a mul...
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a mul...
31ppInternational audienceThe article first studies the propagation of well prepared high frequency ...
We discuss some recent developments and trends of applying measure-theoretic analysis to the study o...
Abstract: "In this paper we describe the geometric framework for the study of generation and propaga...
International audienceIn 1994, Lions, Perthame and Tadmor conjectured an optimal smoothing effect fo...
In this paper, we show that the entropy solution of a scalar conservation law is \begin{itemize} \...
Structure of entropy solutions for multi–dimensional scalar conservation laws (revised version: Nove...
Abstract. We propose new entropy admissibility conditions for multidimen-sional hyperbolic scalar co...
International audienceWe propose new entropy admissibility conditions for multidimensional hyperboli...
No. (will be inserted by the editor) Homogenization of nonlinear scalar conservation laws Anne-Laure...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...
Abstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of ...
AbstractNonlinear geometric optics with various frequencies for entropy solutions only in L∞ of mult...
International audienceNonlinear geometric optics with various frequencies for entropy solutions only...
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a mul...
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a mul...
31ppInternational audienceThe article first studies the propagation of well prepared high frequency ...
We discuss some recent developments and trends of applying measure-theoretic analysis to the study o...
Abstract: "In this paper we describe the geometric framework for the study of generation and propaga...
International audienceIn 1994, Lions, Perthame and Tadmor conjectured an optimal smoothing effect fo...
In this paper, we show that the entropy solution of a scalar conservation law is \begin{itemize} \...
Structure of entropy solutions for multi–dimensional scalar conservation laws (revised version: Nove...
Abstract. We propose new entropy admissibility conditions for multidimen-sional hyperbolic scalar co...
International audienceWe propose new entropy admissibility conditions for multidimensional hyperboli...
No. (will be inserted by the editor) Homogenization of nonlinear scalar conservation laws Anne-Laure...
AbstractThe approach based on the construction of some nonlinear functionals was proved to be robust...