Exact Poincaré constants in two‐dimensional annuli

DOI10.1002/zamm.201500299zbMath1529.35008MaRDI QIDQ6065069

Bernd Rummler, Gudrun Thäter, Michael Ružička

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

Stokes operatorLaplacianfirst eigenvaluesPoincaré constants2d-annuli

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Green's functions for elliptic equations (35J08)

Cites Work

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• A Green's function for the annulus
• Natural convection in a narrow horizontal cylindrical annulus: \(Pr\leq 0. 3\)
• Transition and multiplicity of flows in natural convection in a narrow horizontal cylindrical annulus: Pr\(=0.4\)
• Theoretical Results on Steady Convective Flows between Horizontal Coaxial Cylinders
• Natural convection between two horizontal coaxial cylinders
• The Eigenfunctions of the Stokes Operator in Special Domains. I
• The Eigenfunctions of the Stokes Operator in Special Domains. III
• Nondiffracting accelerating waves: Weber waves and parabolic momentum

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