TY - JOUR
T1 - The Cauchy Problem for a Special System of Quasilinear Equations
AU - Hu Jiaxin, Wang Jinghua
JO - Journal of Partial Differential Equations
VL - 1
SP - 33
EP - 44
PY - 1991
DA - 1991/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5759.html
KW - Entropy pair
KW -  weak solution
AB -  We have obtained in this paper the existence of weak solutions to the Cauchy problem for a special system of quasillnear equations with physical interest of the form {\frac{&#8706}{&#8706t}(u + qz) + \frac{&#8706}{&#8706x}f(u) = 0 \frac{&#8706z}{&#8706t} + k&#966(u)z = 0 for the assumed smooth function &#966(u) by employing the viscosity method and the theory of compensated compactness.