Regular time-reproductive solutions for generalized Boussinesq model with Neumann boundary conditions for temperature

Regula ime- ep oduc i e solu ions o gene alized Boussinesq model wi h Neumann bounda y condi ions o empe a u e Blanca Climen Ezque a F ancisco Guillén González Ma ko Rojas Meda Belem, julio 2006 1. S a emen o he p oblem. The main esul 2. The Gale kin Ini ial-Bounda y P oblem 3. Di e en ial Inequali ies in egula no ms 4. P oo o heo em 5. Some commen s and open p oblems 1. S a emen o he p oblem 1. S a emen o he p oblem 1. S a emen o he p oblem P e ious esul s: Exis ence and uniqueness o ini ial alue p oblem wi h Di ichle ’s bounda y condi ions S.A. Lo ca, J.L. Bold ini, S a iona y solu ions o gene alized Boussinesq models, J. Di e en ial Equa ions 124 (2), (1996). Goal: To ob ain s ong es ima es: o he eloci y, o he empe a u e and consequen ly, exis ence o egula ep oduc i e solu ion Di icul ies: Time ep oduc i e condi ion Nonlinea di usion 1. S a emen o he p oblem. De ini ion: 1. 1. S a emen o he p oblem. 1. S a emen o he p oblem. The main esul 2. The Gale kin ini ial-bounda y p oblem 4. P oo o heo em 4. P oo o heo em << T 4. P oo o heo em 4. P oo o heo em 4. P oo o heo em = = 5. Some commen s and open p oblems