RT Journal Article
T1 Local strong solutions of a parabolic system related tothe Boussinesq approximation for buoyancy-driven flowwith viscous heating
A1 Díaz Díaz, Jesús Ildefonso
A1 Rakotoson, J.M.
A1 Schmidt, P.G.
AB We propose a modification of the classical Navier-Stokes-Boussinesq system of equations, which governs buoyancy-driven flows of viscous, incompressible fluids. This modification is motivated by unresolved issues regarding the global solvability of the classical system in situations where viscous heating cannot be neglected. A 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. In the present paper, we establish the local-in-time existence and uniqueness of strong solutions for the model problem. The full system of equations and the global-in-time existence of weak solutions will be addressed in forthcoming work.
PB Khayyam Publishing
SN 1079-9389
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/51369
UL https://hdl.handle.net/20.500.14352/51369
LA eng
NO DGISGPI (Spain)
NO DGUIC of the CAM and the UCM
NO Programa de Visitantes Distinguidos, Grupo Santander
DS Docta Complutense
RD 7 abr 2025