Abstract
We study the inviscid Burgers equation in the presence of spatially periodic non-zero potential force. We prove that for the 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have