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On nonclassical symmetries of generalized Huxley equations
contribution to the Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (4 - 10 June 2010, Protaras, Cyprus)
2010/11/10
Nonclassical symmetries of a class of generalized Huxley equations of form $u_t=u_{xx}+k(x)u^2(1-u)$ are found. More precisely, for the class under consideration we completely classify reduction opera...
Attractors for a Nonclassical Diffusion Equation
Nonclassical diffusion equation Global attractor
2007/12/11
For a nonclassical diffusion equation, the asymptotic behavior is investigated, and the existence of a global attractor is proved.
Global Attractors for a Nonclassical Diffusion Equation
nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate
2007/12/10
We prove the existence of global attractors in $H_0^1(\Omega)$ for a nonclassical diffusion equation. Two types of nonlinearity $f$ are considered: one is the critical exponent, and the other is the p...