@Article{JPDE-11-25, author = {}, title = {Some Results on the Stability of Non-classical Shock Waves}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {1}, pages = {25--38}, abstract = { Part 1 of this paper establishes the infinite-time stability of a class of over-compressive viscous shock waves; the equations studied here are a mathematical analogue of those of magnetohydrodynamics. Part 2 communicates a rather general short-time stability result for undercompressive shock waves in several space dimensions; technically, this is an easy extension of Majda's corresponding result for Laxian shock waves.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5552.html} }