The aim of the paper is to study qualitative properties of entropy solutions to the Cauchy problem for the following reaction-convection equation with nonconvex flux f theta u/theta t+theta f(u)/theta x+g(u) In particular we prove that under suitable assumptions the solution is continuous for large t. New results concerning the asymptotic behavior of solutions are also given, proving convergence to a suitable combination of traveling profiles with different speeds.
Continuity in finite time of entropy solutions for nonconvex conservation laws with reaction term / Mascia, Corrado. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 23:5-6(1998), pp. 913-931. [10.1080/03605309808821372]
Continuity in finite time of entropy solutions for nonconvex conservation laws with reaction term
MASCIA, Corrado
1998
Abstract
The aim of the paper is to study qualitative properties of entropy solutions to the Cauchy problem for the following reaction-convection equation with nonconvex flux f theta u/theta t+theta f(u)/theta x+g(u) In particular we prove that under suitable assumptions the solution is continuous for large t. New results concerning the asymptotic behavior of solutions are also given, proving convergence to a suitable combination of traveling profiles with different speeds.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
