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A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
ArticleAbstract: We study the well-posedness of the initial value problem for a wide class of singular evolution equaPalabras claves:Green-Naghdi, Nash-Moser, Serre approximation, Singular evolution equationsAutores:Borys Álvarez-Samaniego, Lannes D.Fuentes:scopusLarge time existence for 3D water-waves and asymptotics
ArticleAbstract: We rigorously justify in 3D the main asymptotic models used in coastal oceanography, including: shalPalabras claves:Autores:Borys Álvarez-Samaniego, Lannes D.Fuentes:scopusOn the local well-posedness for some systems of coupled KdV equations
ArticleAbstract: Using the theory developed by Kenig, Ponce, and Vega, we prove that the Hirota-Satsuma system is locPalabras claves:Gear-Grimshaw system, Hirota-Satsuma system, KdV equationAutores:Borys Álvarez-Samaniego, Carvajal X.Fuentes:scopus