Periodic Sobolev Spaces and a Cauchy Problem associated to a model of waves in a viscous fluid
Keywords:
Waves in a viscous fluid, existence of solution, KdVKuramoto - Sivashinski equation, Periodic Sobolev spaces, Fourier theory.Abstract
In this article, we study, giving subtle proofs, some results of Periodic Sobolev spaces H S, their characterizations, inclusions, duality, Sobolev embeddings and the possibility of the fact of the product of two elements belonging to the space, still remains in the space; actually, it occurs when s > 1/2. Also, we prove the existence and uniqueness of the solution of a Cauchy problem associated to a model of waves in a viscous fluid.
Downloads
Published
Issue
Section
License
Copyright (c) 2016 Yolanda Santiago Ayala, Santiago Rojas Romero, Teófanes Quispe Méndez
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Theorema segunda época by Vicerrectorado de Investigación y Posgrado is licensed under a Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional License.
Creado a partir de la obra en http://revistasinvestigacion.unmsm.edu.pe/index.php/Theo/index.
AUTHORS RETAIN THEIR RIGHTS:
a. Authors retain their trade mark rights and patent, and also on any process or procedure described in the article.
b. Authors retain their right to share, copy, distribute, perform and publicly communicate their article (eg, to place their article in an institutional repository or publish it in a book), with an acknowledgment of its initial publication in the Theorema segunda época.
c. Authors retain theirs right to make a subsequent publication of their work, to use the article or any part thereof (eg a compilation of his papers, lecture notes, thesis, or a book), always indicating the source of publication (the originator of the work, journal, volume, number and date).
