Large time existence of small viscous surface waves without surface tension

DOI10.1080/03605309908820709zbMath0731.35081OpenAlexW2092504959MaRDI QIDQ3356778

Donna Lynn Gates Sylvester

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820709

zbMATH Keywords

uniquenessglobal existencecontraction mapping argumentresolvent estimatessurface waves

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Waves for incompressible viscous fluids (76D33)

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Cites Work

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• Un problème de Navier-Stokes avec surface libre et tension superficielle
• The initial value problem for the navier-stokes equations with a free surface
• SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE

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