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The initial value problem for the Boussinesq equations with data in \(L^p\). (English) Zbl 0429.35059
Approximation methods for Navier-Stokes problems, Proc. Symp. IUTAM, Paderborn 1979, Lect. Notes Math. 771, 129-144 (1980).

MSC:
35Q30 Navier-Stokes equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
76D05 Navier-Stokes equations for incompressible viscous fluids
76R05 Forced convection
80A20 Heat and mass transfer, heat flow (MSC2010)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)