Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws

Gianluca Crippa, Félix Otto, Michael Westdickenberg

Type: Book-Chapter

Publication Date: 2008-01-01

Citations: 17

DOI: https://doi.org/10.1007/978-3-540-76781-7_3

View Publication

Locations

Lecture notes of the Unione Matematica Italiana - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Nonlinear regularizing effect for conservation laws	2009	François Golse
+ PDF Chat	Heterogeneity in scalar conservation laws: approximation and applications	2021	Abraham Sylla
+	Nonlinear Scalar Conservation Laws	2002	Randall J. LeVeque
+	Numerical smoothness and error analysis for RKDG on the scalar nonlinear conservation laws	2012	T. Sun David Rumsey
+	Nonlinear stability of the relaxing schemes for scalar conservation laws	2001	Huazhong Tang
+	Theoretical Problems and Numerical Results for Nonlinear Conservation Laws	1983	James Glimm
+	A new nonlinear functional for general scalar conservation laws	2008	Zaihong Jiang Tong Yang
+	Blowing Up and Dissipation for a Couple of One-dimensional Non-local Conservation Laws	2025	Eduardo Abreu M. Huacasi-Machaca John Pérez Julio C. Valencia-Guevara
+	Large-time behavior of solutions of scalar viscous conservation law with non-convex flux	2009	伊都子橋本
+	Large-time behavior of solutions of scalar viscous conservation law with non-convex flux	2009	Itsuko Hashimoto
+	Numerical solution of conservation laws	2005	H.- Kreiss
+	Shock regularization of conservation laws through use of spatial averaging in nonlinear terms	2009	Gregory Norgard
+	Nonlinear Conservation Equations	1979	Cathleen S. Morawetz
+	Nonlinear Conservation Equations	1979	Cathleen S. Morawetz
+	Differential Formulation of Conservation Laws	2022	Naseem Uddin
+	Numerical Analysis of Conservation Laws Involving Non-local Terms	2019	Neelabja Chatterjee
+	Long-time behaviour for multidimensional scalar conservation laws	2000	Eduard Feireisl Hana Petzeltová
+	Convergence rate for a regularized scalar conservation law	2024	Billel Guelmame Haroune Houamed
+	L 2 Formulation of Multidimensional Scalar Conservation Laws	2009	Yann Brenier
+	Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods	2018	М. О. Корпусов Alexey Ovchinnikov А.Г. Свешников E. V. Yushkov

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	On the structure of weak solutions to scalar conservation laws with finite entropy production	2022	Elio Marconi
+ PDF Chat	Multi-dimensional Burgers Equation with Unbounded Initial Data: Well-Posedness and Dispersive Estimates	2019	Denis Serre Luís Silvestre
+	Non existence of the BV regularizing effect for scalar conservation laws in several space dimension	2018	Shyam Sundar Ghoshal Animesh Jana
+	Nonlinear asymptotic stability in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mi>∞</mml:mi> </mml:msup></mml:math> for Lipschitz solutions to scalar conservation laws	2024	William Golding
+ PDF Chat	On the maximal smoothing effect for multidimensional scalar conservation laws	2017	Pierre Castelli Stéphane Junca
+	Regularity of solutions to scalar conservation laws with a force	2018	Xavier Lamy Benjamin Gess
+	Smoothing effect in BVΦ for entropy solutions of scalar conservation laws	2017	Pierre Castelli Stéphane Junca
+	Averaging Lemmas and Dispersion Estimates for kinetic equations	2009	Pierre‐Emmanuel Jabin
+ PDF Chat	On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods	2023	Nicola De Nitti Enrique Zuazua
+ PDF Chat	High Frequency Waves and the Maximal Smoothing Effect for Nonlinear Scalar Conservation Laws	2014	Stéphane Junca

Works Cited by This (25)

Action	Title	Year	Authors
+	Some New Velocity Averaging Results	2002	Michael Westdickenberg
+ PDF Chat	The sharp form of Oleĭnik’s entropy condition in several space variables	1983	David Hoff
+	Strong Traces for Solutions of Multidimensional Scalar Conservation Laws	2001	Alexis Vasseur
+	The rectifiability of entropy measures in one space dimension	2003	Camillo De Lellis Tristan Rivière
+	Regularity of the moments of the solution of a Transport Equation	1988	François Golse Pierre-Louis Lions Benoı̂t Perthame Rémi Sentis
+ PDF Chat	Regularity in kinetic formulations via averaging lemmas	2002	Pierre‐Emmanuel Jabin Benoı̂t Perthame
+	Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness	1999	François Bouchut James François
+	Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws	2000	Gui‐Qiang Chen M. Rascle
+	A regularity theorem for a nonconvex scalar conservation law	1986	Kuo-Shung Cheng
+	Averaged Multivalued Solutions for Scalar Conservation Laws	1984	Yann Brenier