Chen, Gui-Qiang G.; Perthame, Benoît What is …a kinetic solution for degenerate parabolic-hyperbolic equations? (English) Zbl 1201.35119 Notices Am. Math. Soc. 57, No. 6, 737-739 (2010). From the text: Nonlinear degenerate parabolic-hyperbolic equations are one of the most important classes of nonlinear partial differential equations. Nonlinearity and degeneracy are two main features of these equations and yield several striking phenomena that require new mathematical ideas, approaches, and theories. On the other hand, because of the importance of these equations in applications, there is a large literature for the design and analysis of various numerical methods to calculate these solutions. In addition, a well-posedness theory (existence, uniqueness, and stability) is in great demand. Cited in 1 Document MSC: 35K65 Degenerate parabolic equations 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35L80 Degenerate hyperbolic equations Keywords:nonlinear advection; nonlinear diffusion; numerical methods; well-posedness theory PDFBibTeX XMLCite \textit{G.-Q. G. Chen} and \textit{B. Perthame}, Notices Am. Math. Soc. 57, No. 6, 737--739 (2010; Zbl 1201.35119)