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Volume 4, Issue 2
Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws

Qingning Zhang & Min Cheng

DOI: 10.12150/jnma.2022.198

J. Nonl. Mod. Anal., 4 (2022), pp. 198-206.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, the existence of viscous solutions of a hyperbolic equilibrium law system derived from the nonlinear entropy moment closure of a dynamic equation is established. In addition, by using the natural entropy of the system, some higher order estimates of some viscosity solutions are obtained.

  • Keywords

System of hyperbolic balance laws, Viscosity solutions, The invariant region.

  • AMS Subject Headings

35L65, 35Q35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-198, author = {Zhang , Qingning and Cheng , Min}, title = {Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {2}, pages = {198--206}, abstract = {

In this paper, the existence of viscous solutions of a hyperbolic equilibrium law system derived from the nonlinear entropy moment closure of a dynamic equation is established. In addition, by using the natural entropy of the system, some higher order estimates of some viscosity solutions are obtained.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.198}, url = {http://global-sci.org/intro/article_detail/jnma/20703.html} }
TY - JOUR T1 - Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws AU - Zhang , Qingning AU - Cheng , Min JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 198 EP - 206 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.198 UR - https://global-sci.org/intro/article_detail/jnma/20703.html KW - System of hyperbolic balance laws, Viscosity solutions, The invariant region. AB -

In this paper, the existence of viscous solutions of a hyperbolic equilibrium law system derived from the nonlinear entropy moment closure of a dynamic equation is established. In addition, by using the natural entropy of the system, some higher order estimates of some viscosity solutions are obtained.

Zhang , Qingning and Cheng , Min. (2022). Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws. Journal of Nonlinear Modeling and Analysis. 4 (2). 198-206. doi:10.12150/jnma.2022.198
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