TY - JOUR
T1 - Regularization of Solution Operators for Quasilinear Hyperbolic-parabolic Partial Differential Equations
AU - Tai-Ping Liu 
JO - Journal of Partial Differential Equations
VL - 4
SP - 347
EP - 354
PY - 1997
DA - 1997/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5604.html
KW - Nonlinear hyperbolicity
KW - dissipations
KW - conservation laws
KW - regularity of solutions
AB -  We list a hierarchy of hyperbolic-parabolic partial differential equations in terms of the regularization properties of their solution operators. This ranges from the most regularizing of the heat operator to the least, that of the hyperbolic conservation laws. We illustrate this with physical examples in gas dynamics and mechanics.