与 Rosenau-Korteweg-de Vries 方程相关的守恒律的奇异极限问题
偏微分方程分析
2015-03-27 v1
摘要
我们考虑包含非线性色散效应的 Rosenau-Korteweg-de Vries 方程。我们证明当扩散参数趋于零时，该色散方程的解收敛到 Burgers 方程的不连续弱解。证明依赖于推导合适的先验估计，并结合在 L^p 框架下应用补偿紧致方法。
引用
@article{arxiv.1503.07565,
title = {A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation},
author = {G. M. Coclite and L. di Ruvo},
journal= {arXiv preprint arXiv:1503.07565},
year = {2015}
}
备注
arXiv admin note: substantial text overlap with arXiv:1503.07400; text overlap with arXiv:1501.07371