Shock formation for forced Burgers equation and application

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We study the inviscid Burgers equation in the presence of spatially periodic potential force. We prove that for foliated initial value problem there are always solutions developing shocks in a finite time. We give an application of this result to a quasi-linear system of conservation laws which appeared in the study of integrable Hamiltonian systems with 1.5 degrees of freedom.
7 pages, no figures

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Dynamical Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/78144

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902138
 http://arxiv.org/abs/math/9902138

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arXiv