On One Mathematical Model Described by Boundary Value Problem for the Biharmonic Equation

DOI10.14529/mmp160404zbMath1401.31015OpenAlexW4255034776MaRDI QIDQ4692056

Berikbol T. Torebek, Valery V. Karachik

Publication date: 26 October 2018

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru342

zbMATH Keywords

boundary value problemshomogeneous biharmonic equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (4)

Solving a problem of Robin type for biharmonic equation ⋮ Riquier-Neumann problem for the polyharmonic equation in a ball ⋮ Generalized third boundary value problem for the biharmonic equation ⋮ Unnamed Item

Cites Work

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• Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows
• A problem for the polyharmonic equation in the sphere
• On positivity for the biharmonic operator under Steklov boundary conditions
• Solution of biharmonic equations with application to radar imaging
• Normalized system of functions with respect to the Laplace operator and its applications.
• Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball
• On the mean value property for polyharmonic functions in the ball
• Some Difference Schemes for the Biharmonic Equation
• On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball

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