The nonstationary Bernoulli problem with fixed boundary
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We consider a two dimensional free boundary problem for an inviscid, incompressible and irrotational fluid. Imbedded in the fluid is a gas bubble of prescribed shape. Given some initial configuration we investigate the long time evolution of the potential flow. We prove existence, uniqueness and regularity of a solution.
KeywordsTime Evolution Free Boundary Boundary Problem Initial Configuration Potential Flow
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