Nous prouvons dans cette Note l'existence et unicité d'une solution locale forte du problème de Cauchy pour le système de Benney quasilinéaire.
We prove in this Note the existence and uniqueness of a strong local solution to the Cauchy problem for the quasilinear Benney system.
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@article{CRMATH_2007__344_8_493_0, author = {Dias, Jo\~ao-Paulo and Figueira, M\'ario and Oliveira, Filipe}, title = {Existence of local strong solutions for a quasilinear {Benney} system}, journal = {Comptes Rendus. Math\'ematique}, pages = {493--496}, publisher = {Elsevier}, volume = {344}, number = {8}, year = {2007}, doi = {10.1016/j.crma.2007.03.005}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2007.03.005/} }
TY - JOUR AU - Dias, João-Paulo AU - Figueira, Mário AU - Oliveira, Filipe TI - Existence of local strong solutions for a quasilinear Benney system JO - Comptes Rendus. Mathématique PY - 2007 SP - 493 EP - 496 VL - 344 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.03.005/ DO - 10.1016/j.crma.2007.03.005 LA - en ID - CRMATH_2007__344_8_493_0 ER -
%0 Journal Article %A Dias, João-Paulo %A Figueira, Mário %A Oliveira, Filipe %T Existence of local strong solutions for a quasilinear Benney system %J Comptes Rendus. Mathématique %D 2007 %P 493-496 %V 344 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.03.005/ %R 10.1016/j.crma.2007.03.005 %G en %F CRMATH_2007__344_8_493_0
Dias, João-Paulo; Figueira, Mário; Oliveira, Filipe. Existence of local strong solutions for a quasilinear Benney system. Comptes Rendus. Mathématique, Tome 344 (2007) no. 8, pp. 493-496. doi : 10.1016/j.crma.2007.03.005. http://www.numdam.org/articles/10.1016/j.crma.2007.03.005/
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