On the divergence problem in some particular domains

DOI10.1007/s41808-020-00070-0zbMath1441.35054OpenAlexW3022794017MaRDI QIDQ2191088

Christinel Mardare

Publication date: 23 June 2020

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-020-00070-0

zbMATH Keywords

blow upStokes equationdivergence equation\(\ell\) goes to infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary value problems for linear first-order PDEs (35F15) Blow-up in context of PDEs (35B44)

Cites Work

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• Solutions of the divergence operator on John domains
• Asymptotic behaviour of the Stokes problem in cylinders becoming unbounded in one direction
• On a vector version of a fundamental lemma of J. L. Lions
• On correctors to elliptic problems in long cylinders
• On a lemma of Jacques-Louis Lions and its relation to other fundamental results
• Elliptic problems in long cylinders revisited
• Exponential rates of convergence by an iteration technique
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Asymptotic Issues for Some Partial Differential Equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
• ℓ GOES TO PLUS INFINITY : AN UPDATE

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