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Shock formation for forced Burgers equation and application

M. Bialy
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Abstract

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.

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M. Bialy. 1999-02-24. Shock formation for forced Burgers equation and application. https://arxiv.org/abs/math/9902138

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