RT Journal Article
T1 A parabolic system involving a quadratic gradient term related to the Boussinesq approximation
A1 Díaz Díaz, Jesús Ildefonso
A1 Rakotoson, Jean Michel Theresien
A1 Schmidt, Paul G.
AB We propose a modification of the classical Boussinesq approximation for buoyancy-driven flows of viscous, incompressible fluids in situations where viscous heating cannot be neglected. This modification is motivated by unresolved issues regarding the global solvability of the original system. A very simple model problem leads to a coupled system of two parabolic equations with a source term involving the square of the gradient of one of the unknowns. Based on adequate notions of weak and strong solutions, we establish the global-in-time existence of weak solutions and the uniqueness of strong solutions.
PB Real Academia Ciencias Exactas Físicas Y Naturales
SN 1578-7303
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/49944
UL https://hdl.handle.net/20.500.14352/49944
LA eng
NO DGISGPI (Spain).
DS Docta Complutense
RD 21 dic 2025