Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities.

DOI10.1016/S0022-247X(02)00286-XzbMath1192.35096MaRDI QIDQ1856831

V. F. Butuzov, Klaus R. Schneider, Nikolai N. Nefedov

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

singularly perturbed differential equations, asymptotic expansions, exchange of stabilities, delayed exchange of stabilities, initial value problems, boundary value problems, initial-boundary value problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Second-order parabolic systems (35K40)

Related Items (2)

Asymptotic analysis for the singularly perturbed initial value problem with degenerate equation having triple root ⋮ Singularly perturbed partially dissipative systems of equations

Cites Work

• Inertial manifolds associated to partly dissipative reaction-diffusion systems
• Existence of inertial manifolds for partly dissipative reaction diffusion systems in higher space dimensions
• Singularly perturbed boundary value problems in case of exchange of stability
• A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability
• Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability
• Immediate exchange of stabilities in singularly perturbed systems
• Nonlinear elliptic boundary-value problems in unbounded domains
• Partly dissipative reaction-diffusion systems and a model of phosphorus diffusion in silicon
• Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
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