Shock formation for the forced Burgers equation and an application

Authors
Bialy, ML
Citation
Ml. Bialy, Shock formation for the forced Burgers equation and an application, GEO FUNCT A, 10(4), 2000, pp. 732-740
Citations number
10
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X → ACNP
Volume
10
Issue
4
Year of publication
2000
Pages
732 - 740
Database
ISI
SICI code
1016-443X(2000)10:4<732:SFFTFB>2.0.ZU;2-X
Abstract
We study the inviscid Burgers equation in the presence of spatially periodi c non-zero potential force. We prove that for the foliated initial value pr oblem there are always solutions developing shocks in a finite time. We giv e an application of this result to a quasi-linear system of conservation la ws which appeared in the study of integrable Hamiltonian systems with 1.5 d egrees of freedom.