Asymptotic solution of linear bisingular problems with additional boundary layer

DOI10.3103/S1066369X18030088zbMath1392.35030OpenAlexW2801437025WikidataQ129908251 ScholiaQ129908251MaRDI QIDQ1646394

Y. Aharonov

Publication date: 25 June 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18030088

zbMATH Keywords

Dirichlet problemboundary functionsadditional boundary layerintermediate boundary layerthree-zone problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

ASYMPTOTIC SOLUTION OF THE DIRICHLET PROBLEM FOR A RING, WHEN THE CORRESPONDING UNPERTURBED EQUATION HAS A REGULAR SPECIAL CIRCLE ⋮ Asymptotics of the solution of bisingularly perturbed first boundary value problem ⋮ Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point ⋮ Asymptotics of the solution to the boundary-value problems with non smooth coefficient ⋮ Asymptotics of the solution to the Robin problem for a ring with regularly singular boundary ⋮ Asymptotics of the solution to the boundary-value problems when limited equation has singular point ⋮ ASYMPTOTICS OF THE SOLUTION TO A TWO-BAND TWO-POINT BOUNDARY VALUE PROBLEM

Cites Work

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• Structure of boundary layers in singular problems
• A method for constructing asymptotic expansions of bisingularly perturbed problems
• ASYMPTOTICS OF THE SOLUTION TO THE BISINGULAR PERTURBED DIRICHLET PROBLEM IN THE RING WITH QUADRATIC GROWTH ON THE BOUNDARY
• Asymptotic expansions of solutions to Dirichlet problem for elliptic equation with singularities
• Asymptotics of the Dirichlet problem solution for a bisingular perturbed equation in the ring

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