Finite Time Emergence of a Shock Wave for Scalar Conservation Laws (original) (raw)
Related papers
On the formation of scalar viscous shocks problem
International Journal of Dynamical Systems and Differential Equations, 2007
Journal of Hyperbolic Differential Equations, 2004
Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws
Non classical solution of a conservation law arising in vehicular traffic modelling
ESAIM, 2016
Mathematical and numerical study of a system of conservation laws
Journal of Evolution Equations, 2007
Transitional Waves for Conservation Laws
SIAM Journal on Mathematical Analysis, 1990
Non classical solution of a conservation law arising in vehicular traffic or crowd modelling
2016
Viscous conservation laws with discontinuous initial data
2009
A well posed conservation law with a variable unilateral constraint
Journal of Differential Equations, 2007
Degenerate systems of conservation laws
Contemporary Mathematics, 1987
DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
Journal of Hyperbolic Differential Equations, 2007
Communications in Partial Differential Equations, 2010
Traffic Flow Theory for One Dimension and Formation of Shock Speed
International Journal of Science and Engineering Applications, 2019
Communications in Partial Differential Equations, 1998
Nonclassical shocks and the Cauchy problem: general conservation laws
Contemporary Mathematics, 1999
A kinetic method for strictly nonlinear conservation laws
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1991
Nonclassical shocks and the Cauchy problem for nonconvex conservation laws
Debora Amadori, Paolo Baiti, Benedetto Piccoli
1999
Generalized characteristics in hyperbolic systems of conservation laws
Archive for Rational Mechanics and Analysis, 1989
On entropic solutions to conservation laws coupled with moving bottlenecks
Communications in Mathematical Sciences, 2021
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems
Proceedings, 2012
Exploring the Behavior of LWR Continuum Models of Traffic Flow in Presence of Shock Waves
Procedia - Social and Behavioral Sciences, 2013
The Riemann problem for a class of conservation laws of mixed type
Journal of Differential Equations, 1982
2× 2 systems of conservation laws with L∞ data
2010
Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999
Undercompressive Shocks for a System of Hyperbolic Conservation Laws with Cubic Nonlinearity
Journal of Mathematical Analysis and Applications, 1999
2016
Journal of Computational Physics, 2008
Polygonal approximations of solutions of the initial value problem for a conservation law
Journal of Mathematical Analysis and Applications, 1972
Physica D: Nonlinear Phenomena, 2021
Shock Wave Admissibility for Quadratic Conservation Laws
Journal of Differential Equations, 1995
Shock formation and breaking in granular avalanches
Discrete and Continuous Dynamical Systems, 2010
Qualitative Behavior of Conservation Laws with Reaction Term and Nonconvex Flux
1997
Finite volume schemes for locally constrained conservation laws
2009
Lp ASYMPTOTIC BEHAVIOR OF PERTURBED VISCOUS SHOCK PROFILES
Journal of Hyperbolic Differential Equations, 2005
European Journal of Applied Mathematics, 2008