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Volume 10, Issue 4
Entropy Methods for Nonstrictly Hyperbolic Systems

Marcati Pierangelo & Rubino Bruno

J. Part. Diff. Eq., 10 (1997), pp. 333-346.

Published online: 1997-10

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  • Abstract
This paper regards the existence of entropy waves for a model example of nonstrictly hyperbolic system which degenerates on a sonic line. This construction is an important tool to approach the convergence of the vanishing viscosity and of other similar approximations to the weak solutions of the hyperbolic systems, via the compensated compactness techniques.
  • Keywords

Conservation laws entropy Goursat problem nonlinear wave equation Riemann function sonic line weak and strong fundamental solutions

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@Article{JPDE-10-333, author = {Marcati Pierangelo and Rubino Bruno }, title = {Entropy Methods for Nonstrictly Hyperbolic Systems}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {4}, pages = {333--346}, abstract = { This paper regards the existence of entropy waves for a model example of nonstrictly hyperbolic system which degenerates on a sonic line. This construction is an important tool to approach the convergence of the vanishing viscosity and of other similar approximations to the weak solutions of the hyperbolic systems, via the compensated compactness techniques.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5603.html} }
TY - JOUR T1 - Entropy Methods for Nonstrictly Hyperbolic Systems AU - Marcati Pierangelo & Rubino Bruno JO - Journal of Partial Differential Equations VL - 4 SP - 333 EP - 346 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5603.html KW - Conservation laws KW - entropy KW - Goursat problem KW - nonlinear wave equation KW - Riemann function KW - sonic line KW - weak and strong fundamental solutions AB - This paper regards the existence of entropy waves for a model example of nonstrictly hyperbolic system which degenerates on a sonic line. This construction is an important tool to approach the convergence of the vanishing viscosity and of other similar approximations to the weak solutions of the hyperbolic systems, via the compensated compactness techniques.
Marcati Pierangelo and Rubino Bruno . (1997). Entropy Methods for Nonstrictly Hyperbolic Systems. Journal of Partial Differential Equations. 10 (4). 333-346. doi:
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