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
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T
4. P oo o heo em
4. P oo o heo em
4. P oo o heo em
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5. Some commen s and open p oblems