A singular limit problem for conservation laws related to the Kawahara equation

作者：Coclite Giuseppe Maria^*; di Ruvo Lorenzo

来源：Bulletin des Sciences Mathematiques, 2016, 140(3): 303-338.

DOI：10.1016/j.bulsci.2015.12.003

• Singular limit
• Compensated compactness
• Kawahara equation
• Entropy condition

We consider the Kawahara equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispersive equation converges to the unique entropy solution of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the LP setting.

• 出版日期2016-4