Renormalized entropy solutions of scalar conservation laws
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Elhoussine Azroul, Abdelkrim Barbara, Mohamed Badr Benboubker, Hassane Hjiaj (2014)
Applicationes Mathematicae
Similarity:
We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
D.E. Edmunds, H. Triebel (1994)
Mathematische Annalen
Similarity:
Laurent Levi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution...
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Philippe Bénilan, Lucio Boccardo, Thierry Gallouët, Ron Gariepy, Michel Pierre, Juan Luis Vazquez (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Inder Jeet Taneja (1977)
Annales Polonici Mathematici
Similarity:
Bartosz Frej (2006)
Fundamenta Mathematicae
Similarity:
The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.
Kyewon Koh Park, Uijung Lee (2004)
Studia Mathematica
Similarity:
Topological and metric entropy pairs of ℤ²-actions are defined and their properties are investigated, analogously to ℤ-actions. In particular, mixing properties are studied in connection with entropy pairs.
Fumio Hiai, Dénes Petz (2007)
Banach Center Publications
Similarity:
A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.