Equation de Navier-Stokes avec densité et viscosité variables dans l’espace critique.
H. Abidi (2007)
Revista Matemática Iberoamericana
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H. Abidi (2007)
Revista Matemática Iberoamericana
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D. Chae (2007)
Revista Matemática Iberoamericana
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Lorenzo Brandolese (2004)
Revista Matemática Iberoamericana
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Isabelle Gallagher, Fabrice Planchon (2003)
Revista Matemática Iberoamericana
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We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in the Sobolev space Hs where s > 3/4. This result was obtained in [11] following Bourgain's method ([3]). We present here a different and somewhat simpler argument, inspired by previous work on the Navier-Stokes equations ([4, 7]).
P. Germain (2008)
Revista Matemática Iberoamericana
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Yahya Ould Hamidoune, Alain Plagne (2005)
Revista Matemática Iberoamericana
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Philippe Laurençot, Stéphane Mischler (2002)
Revista Matemática Iberoamericana
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P. Batchourine, C. Fefferman (2007)
Revista Matemática Iberoamericana
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Emmanuel Chasseigne, Juan Luis Vázquez (2003)
Revista Matemática Iberoamericana
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Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele (2006)
Revista Matemática Iberoamericana
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We prove that classical Coifman-Meyer theorem holds on any polidisc T or arbitrary dimension d ≥ 1.