The Cosserat problem related to the curl and a complete characterization of all solenoidal vector fields vanishing at the boundary in case of space dimension n = 2

DOI10.1524/ANLY.2009.1046zbMath1189.35070OpenAlexW1966988364MaRDI QIDQ3656039

Christian G. Simader

Publication date: 13 January 2010

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2009.1046

zbMATH Keywords

solenoidal fieldsCosserat spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Introduction to the Cosserat problem
• The weak Lq-Cosserat spectrum for the first boundary value problem in the half-space. Applications to Stokes' and Lamé's system
• L q-solutions to the Cosserat spectrum in bounded and exterior domains
• An operator related to the Cosserat spectrum. Applications

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