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math.AP2018★ 1 cited
Global asymptotics toward rarefaction waves for solutions of the scalar conservation law with nonlinear viscosity
Akitaka Matsumura, Natsumi Yoshida
In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especial…
math.AP2016★ 1 cited
Global dynamics above the first excited energy for the nonlinear Schrödinger equation with a potential
Kenji Nakanishi
Consider the focusing nonlinear Schrödinger equation with a potential with a single negative eigenvalue. It has solitons with negative small energy, which are asymptotically stable…