Large time behavior and homogenization of solutions of two-dimensional conservation laws
1993 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 46, no 1, 1-26 p.Article in journal (Refereed) Published
We study the large time behavior of solutions of scalar conservation laws in one and two space dimensions with periodic initial data. Under a very weak nonlinearity condition, we prove that the solutions converge to constants as time goes to infinity. Even in one space dimension our results improve the earlier ones since we only require the fluxes to be nonlinear in a neighborhood of the mean value of the initial data. We then use these results to study the homogenization problem for scalar conservation laws with oscillatory initial data.
Place, publisher, year, edition, pages
1993. Vol. 46, no 1, 1-26 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90487DOI: 10.1002/cpa.3160460102OAI: oai:DiVA.org:kth-90487DiVA: diva2:505670
NR 201408052012-02-242012-02-24Bibliographically approved