TY - JOUR
T1 - Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature
AU - Climent-Ezquerra, Blanca
AU - Guillén-González, Francisco
AU - Rojas-Medar, Marko Antonio
PY - 2007/9/8
Y1 - 2007/9/8
N2 - The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H3 type) for temperature than for velocity (of H 2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.
AB - The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H3 type) for temperature than for velocity (of H 2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.
KW - Navier-Stokes type equations
KW - Nonlinear diffusion
KW - Regularity
KW - Time-periodic solutions
UR - https://www.scopus.com/pages/publications/36348947547
U2 - 10.1098/rspa.2007.1867
DO - 10.1098/rspa.2007.1867
M3 - Article
AN - SCOPUS:36348947547
SN - 1364-5021
VL - 463
SP - 2153
EP - 2164
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2085
ER -