A mathematical theory for viscous, free-surface flows over a perturbed plane
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Publication:1188034
DOI10.1007/BF00375692zbMath0765.76024MaRDI QIDQ1188034
Jerry L. Bona, Frederic Abergel
Publication date: 3 August 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
gravityexistenceuniquenessinclined planeexponential decaylocalized non-uniform structureunperturbed Poiseuille-Nusselt flow
Related Items (16)
Numerical solution of a free surface flow problem over an obstacle ⋮ Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension ⋮ Solvability of a supercritical free surface flow problem under gravity-capillarity ⋮ A geometric approach to the study of stationary free surface flows for viscous liquids ⋮ Solvability of a three-dimensional free surface flow problem over an obstacle ⋮ Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity ⋮ Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids ⋮ Existence and uniqueness of the solution of a supercritical free surface flow problem over an obstacle ⋮ Viscous incompressible free-surface flow down an inclined perturbed plane ⋮ On a linearized system arising in the study of viscous surface flow down an inclined plane ⋮ Existence of smooth, stationary interfaces for Marangoni-type flow ⋮ Flows of two immiscible fluids over an obstacle ⋮ Optimal control data assimilation with an atmospheric model ⋮ On the Nusselt solution of a nonisothermal two-fluid inclined film flow ⋮ Film flow down an inclined plane over a three-dimensional obstacle ⋮ Well-posedness for a cauchy problem associated to time dependent free boundaries with nonlocal leading terms
Cites Work
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- Solvability of the problem of effluence of a viscous imcompressible fluid into an infinite open basin
- Free surface of the steady flow of a Newtonian fluid in a finite channel
- Liquid drops in a viscous fluid under the influence of gravity and surface tension
- SOLVABILITY OF A PROBLEM ON THE PLANE MOTION OF A HEAVY VISCOUS INCOMPRESSIBLE CAPILLARY LIQUID PARTIALLY FILLING A CONTAINER
- Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes
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