On a linearized system arising in the study of viscous surface flow down an inclined plane

DOI10.1007/s11565-013-0198-4zbMath1302.35301OpenAlexW1966663583MaRDI QIDQ467175

Kyoko Tomoeda, Yoshiaki Teramoto

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-013-0198-4

zbMATH Keywords

Navier-Stokes equationsfree boundary value problemconstruction of resolvent operators

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) One-parameter semigroups and linear evolution equations (47D06) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Linear differential equations in abstract spaces (34G10)

Related Items (1)

Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension

Cites Work

• Unnamed Item
• Large-time regularity of viscous surface waves
• On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
• Extended Korn's inequalities and the associated best possible constants
• A mathematical theory for viscous, free-surface flows over a perturbed plane
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Hopf bifurcation in viscous incompressible flow down an inclined plane
• Optimal Korn's inequality for solenoidal vector fields on a periodic slab
• The initial value problem for the navier-stokes equations with a free surface
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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