Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels
Copyright policy )Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels
The authors are dealing with some complicated domain and a reaction diffusion system on it. In nonlinear PDE problems, it is not easy to obtain a sharp result concerning the solutions and their structure in a general situation because many essentially different situations can occur in different cases. They give some detailed result for a specified situation. They deal with a domain \(\Omega(\varepsilon)\) constructed as follows: \(\Omega(\varepsilon)=D_ 1\cup D_ 2\cup\cdots\cup D_ N\cup(\bigcup_{i
- Ryukoku University Japan
- Okayama University Japan
homogeneous Neumann boundary conditions, weakly coupled semilinear parabolic equations, reduced ordinary differential equations, Reaction-diffusion equations, finite dimensional invariant manifold, Asymptotic behavior of solutions to PDEs, Nonlinear parabolic equations, singularly perturbed domain
homogeneous Neumann boundary conditions, weakly coupled semilinear parabolic equations, reduced ordinary differential equations, Reaction-diffusion equations, finite dimensional invariant manifold, Asymptotic behavior of solutions to PDEs, Nonlinear parabolic equations, singularly perturbed domain
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