References
- Vazquez JL. The porous medium equation: mathematical theory. Oxford: The Clarendon Press. Oxford University Press; 2007. (Oxford Mathematical Monographs).
- Andreucci D, Tedeev AF. Universal bounds at the blow-up time fornonlinear parabolic equations. Adv Differ Equ. 2005;10(1):89–120.
- Gushchin AK. Stabilization of the solutions of the secondboundary value problem for a second order parabolic equation. Mat Sb (N.S.). 1976;101(143):459–499.
- Andreucci D, Tedeev AF. Optimal bounds and blow up phenomena forparabolic problems in narrowing domains. Proc R Soc Edinburgh. 1998;128A:1163–1180. doi: https://doi.org/10.1017/S030821050002727X
- Dal Passo R, Giacomelli L. Weak solutions of a strongly coupleddegenerate parabolic system. Adv Differ Equ. 1999;4(5):617–638.
- Hyman JM, Rosenau P. Analysis of nonlinear mass and energy diffusion. Phys Rev A. 1985;32:2370–2373. doi: https://doi.org/10.1103/PhysRevA.32.2370
- Hyman JM, Rosenau P. Plasma diffusion across a magnetic field. Phys D. 1986;20:444–446. doi: https://doi.org/10.1016/0167-2789(86)90047-3
- Hyman JM, Rosenau P. Analysis of nonlinear parabolic equationsmodeling plasma diffusion across a magnetic field. Lect Appl Math. 1986;23:219–245.
- Bertsch M, Kamin S. A system of degenerate parabolic equationsfrom plasma physics: the large time behavior. SIAM J Math Anal. 2000;31(4):776–790. doi: https://doi.org/10.1137/S0036141098336613
- Chen S. Global existence and nonexistence for some degenerate andquasilinear parabolic systems. J Differ Equ. 2008;245:1112–1136. doi: https://doi.org/10.1016/j.jde.2007.11.008
- Tedeev A, Vespri V. Optimal behavior of the support of thesolutions to a class of degenerate parabolic systems. Interfaces Free. 2015;17(2):143–156. doi: https://doi.org/10.4171/IFB/337
- Belaud Y, Shishkov A. Extinction of solutions of semilinear higherorder parabolic equations with degenerate absorbtion potential. J Evol Equ. 2010;10:857–882. doi: https://doi.org/10.1007/s00028-010-0073-z
- Amann H. Dynamic theory of quasilinear equations III. Global existence. Math Z. 1989;202:219–250. doi: https://doi.org/10.1007/BF01215256
- Amann H. Dynamic theory of quasilinear equations II. Reaction-diffusion systems. Differ Int Equ. 1990;3:13–75.
- Pierre M. Global existence in reaction-diffusion systems with control of mass: a survey. Milan J Math. 2010;78(2):417–455. doi: https://doi.org/10.1007/s00032-010-0133-4
- Ladyzhenskaya OA, Uraltseva NN, Solonnikov VA. Linear and quasilinear equations of parabolic type 23 of translations of mathematical monographs. Providence (RI): American Mathematical Society; 1968.
- Andreucci D, Tedeev AF. Finite speed of propagation for thethin-film equation and other higher parabolic equations with general nonlinearity. Interfaces Free. 2001;3:233–264. doi: https://doi.org/10.4171/IFB/40