Boundary Conditions for Scalar Conservation Laws from a Kinetic Point of View

FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

S N Kružkov · Mathematics of the USSR-Sbornik · 1970 · 1.8K citations

Monge-ampere Equation, Elliptic Equation, Generalized Solutions +5

First order quasilinear equations with boundary conditions

Claude Bardos, Alain Leroux, Jean-Claude Nédélec · Communications in Partial Differential Equations · 1979 · 666 citations

Numerical Analysis, Elliptic Equation, Geometric Partial Differential Equation +7

A kinetic formulation of multidimensional scalar conservation laws and related equations

Pierre‐Louis Lions, Benoı̂t Perthame, Eitan Tadmor · Journal of the American Mathematical Society · 1994 · 454 citations

Numerical Analysis, New Formulation, Engineering +13

Boundary conditions for nonlinear hyperbolic systems of conservation laws

François Dubois, Philippe Le Floch · Journal of Differential Equations · 1988 · 284 citations

Hyperbolic Conservation Law, Boundary Conditions, Nonlinear Hyperbolic Problem +1

A kinetic equation with kinetic entropy functions for scalar conservation laws

Benoı̂t Perthame, Eitan Tadmor · Communications in Mathematical Physics · 1991 · 135 citations

Engineering, Kinetic Equation, Physics +9