Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation

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Volume 11, Issue 4

Fagui Liu

J. Part. Diff. Eq., 11 (1998), pp. 289-300.

Published online: 1998-11

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Abstract

In this article the author considers the limiting behavior of quasilinear hyperbolic conservation laws with relaxation, particularly the zero relaxation limit. Our analysis includes the construction of suitably entropy flux pairs to deduce the L∞ estimate of the solutions, and the theory of compensated compactness is then applied to study the convergence of the approximate solutions to its Cauchy problem.

Keywords

Compensated compactness entropy flux pair conservation laws relaxation

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@Article{JPDE-11-289, author = {Fagui Liu }, title = {Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {4}, pages = {289--300}, abstract = { In this article the author considers the limiting behavior of quasilinear hyperbolic conservation laws with relaxation, particularly the zero relaxation limit. Our analysis includes the construction of suitably entropy flux pairs to deduce the L∞ estimate of the solutions, and the theory of compensated compactness is then applied to study the convergence of the approximate solutions to its Cauchy problem.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5571.html} }

TY - JOUR T1 - Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation AU - Fagui Liu JO - Journal of Partial Differential Equations VL - 4 SP - 289 EP - 300 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5571.html KW - Compensated compactness KW - entropy flux pair KW - conservation laws KW - relaxation AB - In this article the author considers the limiting behavior of quasilinear hyperbolic conservation laws with relaxation, particularly the zero relaxation limit. Our analysis includes the construction of suitably entropy flux pairs to deduce the L∞ estimate of the solutions, and the theory of compensated compactness is then applied to study the convergence of the approximate solutions to its Cauchy problem.

Fagui Liu . (1998). Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation. Journal of Partial Differential Equations. 11 (4). 289-300. doi:

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