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 - <p style="text-align: justify;">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.</p>