Advances in quenching. (English) Zbl 0792.35017
Nonlinear diffusion equations and their equilibrium states, Proc. 3rd Conf., Gregynog/UK 1989, Prog. Nonlinear Differ. Equ. Appl. 7, 319-346 (1992).
[For the entire collection see Zbl 0745.00053.]
We survey the literature on the so called quenching problem since 1985, when the last survey on the subject appeared [H. A. Levine, Proc. Conf. Arlington 1984, North Holland Math. Stud. 110, 275-286 (1985; Zbl 0581.35037)]. We also present some open problems which have arisen in consequence of the results of the recent literature.
We survey the literature on the so called quenching problem since 1985, when the last survey on the subject appeared [H. A. Levine, Proc. Conf. Arlington 1984, North Holland Math. Stud. 110, 275-286 (1985; Zbl 0581.35037)]. We also present some open problems which have arisen in consequence of the results of the recent literature.
MSC:
35B40 | Asymptotic behavior of solutions to PDEs |
35K55 | Nonlinear parabolic equations |
35L70 | Second-order nonlinear hyperbolic equations |