On the problem of asymptotic positivity of solutions for dissipative partial differential equations.
作者： M.V. Bartuccelli , S.A. Gourley
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摘要: The objective of this paper aims to prove positivity solutions for the following semilinear partial differential equationu\(u_t = - \alpha u_{xxxx} + (u^2 )_{xx} u(1 u^2 )\). This equation represents a generalised model so-called porous medium equation. It arises in variety meaningful physical situations including gas flows, diffusion an electron-ion plasma and dynamics biological populations whose mobility is density dependent. In all these must be positive functions.
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