Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws

Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws

Year:    2022

Author:    Qingning Zhang, Min Cheng

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.198

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 198–206

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    System of hyperbolic balance laws Viscosity solutions The invariant region.

Author Details

Qingning Zhang

Min Cheng