Stability of positive constant steady states and their bifurcation in a biological depletion model
On the Hamiltonian dynamics and geometry of the Rabinovich system
December 2011, 15(3): 825-847. doi: 10.3934/dcdsb.2011.15.825
On a generalized Boussinesq model around a rotating obstacle: Existence of strong solutions
Elder J. Villamizar-Roa 1, and Elva E. Ortega-Torres 2,
Universidad Nacional de Colombia-Medellín, Escuela de Matemáticas, Medellìn, A.A. 3840, Colombia
Departamento de Matemáticas, Universidad Católica del Norte, Av. Angamos 0610, Casilla 1280, Antofagasta, Chile
Received June 2009 Revised March 2010 Published February 2011
The aim of this work is to prove the existence of strong solutions for a generalized Boussinesq model, with nonlinear diffusion for the equations of velocity and temperature, occupying a domain $\Omega,$ exterior to a rigid body that rotates with constant angular velocity $\omega.$
Keywords: Rotating obstacle, Strong solutions., Boussinesq equations.
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76D03, 76U0.
Citation: Elder J. Villamizar-Roa, Elva E. Ortega-Torres. On a generalized Boussinesq model around a rotating obstacle: Existence of strong solutions. Discrete & Continuous Dynamical Systems - B, 2011, 15 (3) : 825-847. doi: 10.3934/dcdsb.2011.15.825
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Elder J. Villamizar-Roa Elva E. Ortega-Torres