Les équations de Kelvin-Helmotz. Un problème bien posé uniquement dans le cadre analytique
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C. Bardos (1981/1982)
Séminaire Équations aux dérivées partielles (Polytechnique)
Oldřich Horáček (1971)
Commentationes Mathematicae Universitatis Carolinae
Qian Zhang (2011)
Colloquium Mathematicae
We prove the local in time existence of solutions for an aggregation equation in Besov spaces. The Fourier localization technique and Littlewood-Paley theory are the main tools used in the proof.
Joanna Rencławowicz, Wojciech Zajączkowski (1998)
Applicationes Mathematicae
Existence and uniqueness of local solutions for the initial-boundary value problem for the equations of an ideal relativistic fluid are proved. Both barotropic and nonbarotropic motions are considered. Existence for the linearized problem is shown by transforming the equations to a symmetric system and showing the existence of weak solutions; next, the appropriate regularity is obtained by applying Friedrich's mollifiers technique. Finally, existence for the nonlinear problem is proved by the method...
H.D. Alber (1985)
Mathematische Zeitschrift
Jan Turo (1989)
Annales Polonici Mathematici
Philip Brenner (1976/1977)
Mathematische Zeitschrift
Hartmut Pecher (1977)
Manuscripta mathematica
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