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Volume 11, Issue 1
Some Results on the Stability of Non-classical Shock Waves

H.Freistühler

J. Part. Diff. Eq., 11 (1998), pp. 25-38.

Published online: 1998-11

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  • 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.
  • Keywords

Conservation laws shock waves stability overcompressive undercompressive

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@Article{JPDE-11-25, author = {H.Freistühler}, 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} }
TY - JOUR T1 - Some Results on the Stability of Non-classical Shock Waves AU - H.Freistühler JO - Journal of Partial Differential Equations VL - 1 SP - 25 EP - 38 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5552.html KW - Conservation laws KW - shock waves KW - stability KW - overcompressive KW - undercompressive AB - 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.
H.Freistühler. (1998). Some Results on the Stability of Non-classical Shock Waves. Journal of Partial Differential Equations. 11 (1). 25-38. doi:
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