A steplike contrast structure in a singularly perturbed system of elliptic equations

DOI10.1134/S0965542513090054zbMath1299.35027MaRDI QIDQ5413200

N. T. Levashova, A. A. Melnikova, V. F. Butuzov

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptoticssmall parametersingularly perturbed system of elliptic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (6)

ASYMPTOTIC EXPANSION OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR A RING WITH A SINGULARITY ON THE BOUNDARY ⋮ Step-like contrast structure for a quasilinear system of singularly perturbed differential equations with a zero characteristic number ⋮ Time-independent reaction-diffusion equation with a discontinuous reactive term ⋮ Existence of a periodic solution in the form of a two-dimensional front in a system of parabolic equations ⋮ Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems ⋮ Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics

Cites Work

• Unnamed Item
• Spikelike contrast structures in the parabolic system of two singularly perturbed equations
• Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter

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