منابع مشابه
Reaction-diffusion Systems and Nonlinear Waves
The authors investigate the solution of a nonlinear reaction-diffusion equation connected with nonlinear waves. The equation discussed is more general than the one discussed recently by Manne, Hurd, and Kenkre (2000). The results are presented in a compact and elegant form in terms of Mittag-Leffler functions and generalized Mittag-Leffler functions, which are suitable for numerical computation...
متن کاملNonlinear analysis of stationary patterns in convection-reaction-diffusion systems
Olga A. Nekhamkina, Alexander A. Nepomnyashchy, Boris Y. Rubinstein, and Moshe Sheintuch Department of Chemical Engineering, Technion–IIT, Technion City, Haifa 32 000, Israel Department of Mathematics, Technion–IIT, Technion City, Haifa 32 000, Isreal Minerva Center for Research in Nonlinear Phenomena, Technion–IIT, Technion City, Haifa 32 000, Israel ~Received 16 June 1999; revised manuscript ...
متن کاملSelf-Similarity and Attraction in Stochastic Nonlinear Reaction-Diffusion Systems
Similarity solutions play an important role in many fields of science: we consider here similarity in stochastic dynamics. Important issues are not only the existence of stochastic similarity, but also whether a similarity solution is dynamically attractive, and if it is, to what particular solution does the system evolve. By recasting a class of stochastic PDEs in a form to which stochastic ce...
متن کاملComputational Studies of Reaction-Diffusion Systems by Nonlinear Galerkin Method
This article deals with the computational study of the nonlinear Galerkin method, which is the extension of commonly known Faedo-Galerkin method. The weak formulation of the method is derived and applied to the particular ScottWang-Showalter reaction-diffusion model concerning the problem of combustion of hydrocarbon gases. The proof of convergence of the method based on the method of compactne...
متن کاملModel order reduction of parametrized nonlinear reaction-diffusion systems
We present a model order reduction technique for parametrized nonlinear reaction-diffusion systems. In our approach we combine the reduced basis method — a computational framework for rapid evaluation of functional outputs associated with the solution of parametrized partial differential equations — with the empirical interpolation method — a tool to construct “affine” coefficient-function appr...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1982
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90160-3