The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition

The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition

Year:    1995

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 371–383

Abstract

Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JPDE-5668

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 4 : pp. 371–383

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Scalar conservation law