Existence of solutions of Oseen type integral equations

DOI10.1017/S0004972700021274zbMath0536.45008MaRDI QIDQ3320897

John A. Belward

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existence of solutionsviscous flowlogarithmic singularityOseen-type integral equationsOseen's approximation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Groups and semigroups of linear operators, their generalizations and applications (47D99) Integral equations with miscellaneous special kernels (45H05)

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Cites Work

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• Fundamental Oseen solution for the two-dimensional flow of a micropolar fluid
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Some distribution solutions of integral equations and their application to partial differential equations