Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary
نویسنده
چکیده
Condition (1.3) says that the pressure p vanishes outside the domain and condition (1.4) says that the boundary moves with the velocity V of the fluid particles at the boundary. Given a domain D0 ⊂ R, that is homeomorphic to the unit ball, and initial data v0, satisfying the constraint (1.2), we want to find a set D = ∪ 0≤t≤T {t} × Dt, Dt ⊂ R and a vector field v solving (1.1)-(1.4) with initial conditions
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