Ch. Bernier. Etude et parall#lisation d'un code d'#l#ments ønis pour la mod#lisation quasi-g#ostrophique des circulations oc#aniques. ¯ PhD thesis of INPG (Grenoble, France).  Home/Search   Document Not in Database   Summary   Related Articles

....N , etc. The forcing F wind 1 is supposed to be independent of time and belongs to L 2( Omega Gamma . We recall some results from [Bernier,94] Bernier,95] concerning solvability of system (1) We do not give here the proofs, since they are beyond the scope of this paper. 4 Theorem 3. 1 ([Bernier,94] For 0 in H Gamma1 , system (1) admits a unique solution (t; x) in C( 0; T ] H Gamma1 ) L 2 (0; T; L 2 ) L 2 loc (0; T; H 1 0 ) The semi group G(t) from H Gamma1 in H Gamma1 , G(t) 0 (x) t; x) associated to these equations, is such that there exists a maximal attractor A ....

.... Theta]0; T [ k = 2; 3; K; 1 = 0 on Omega Theta]0; T [ R Omega k d Omega = 0 for k = 2; 3; K k = k C k in Omega Theta]0; T [ k 2 H 1 0( Omega Gamma (7) where C k = PC k . On H Gamma1 we introduce the norm de ned by the scalar product [Bernier,94] 0 ) H 0 = Gamma i=K X i=1 H i i ; 0 i Gamma1;1 ; 8) where (H ) k = H k k and : Gamma1;1 denotes the duality product H Gamma1 Theta H 1 0 : Introducing p k = f 2 0 ae 0 g(ae k 1 Gamma ae k ) pK = 0, we obtain that jj jj 2 ....

[Article contains additional citation context not shown here]

Ch. Bernier. Etude et parall#lisation d'un code d'#l#ments ønis pour la mod#lisation quasi-g#ostrophique des circulations oc#aniques. ¯ PhD thesis of INPG (Grenoble, France).

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC