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- W2379771933 abstract "Existence and uniqueness of solutions for equations is preliminary and foundation to study the behavior and property of solutions.The Extended Fisher-Kolmogorov (EFK) equation plays an important role in the study of pattern formation in bi-stable systems,general genetics,the spread of liquid in the domain wall and traveling wave of reaction-diffusion system.In this paper,two-dimensional Extended Fisher-Kolmogorov (EFK) equation can be renormalized into ordinary differential equations by using Galerkin truncated method,and the existence and uniqueness of solutions for initial value problem of ordinary differential equations is proved.According to energy estimates of truncated solution in corresponding functional space,the convergence of truncated solution in corresponding functional space is given and the existence of weak solutions for two-dimensional Extended Fisher-Kolmogorov (EFK) equation is proved.Lastly,uniqueness for the weak solutions of two dimensional Extended Fisher-Kolmogorov (EFK) equation is derived in the condition that f(u) satisfies the Lipschitz conditions with respect to u." @default.
- W2379771933 created "2016-06-24" @default.
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- W2379771933 date "2010-01-01" @default.
- W2379771933 modified "2023-09-25" @default.
- W2379771933 title "Existence and Uniqueness of Solution for Two Dimensional Extended Fisher-Kolmogorov Equation" @default.
- W2379771933 hasPublicationYear "2010" @default.
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