Local smooth solution and non-relativistic limit of radiation hydrodynamics equations.
Yang, Jianwei, Wang, Shu, Li, Yong (2010)
Boundary Value Problems [electronic only]
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Yang, Jianwei, Wang, Shu, Li, Yong (2010)
Boundary Value Problems [electronic only]
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Taoufik Hmidi (2007-2008)
Séminaire Équations aux dérivées partielles
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In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.
Hajer Bahouri, Jean-Yves Chemin (2000-2001)
Séminaire Équations aux dérivées partielles
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Albert J. Milani, Hans Volkmer (2011)
Applications of Mathematics
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We give sufficient conditions for the existence of global small solutions to the quasilinear dissipative hyperbolic equation corresponding to initial values and source terms of sufficiently small size, as well as of small solutions to the corresponding stationary version, i.e. the quasilinear elliptic equation We then give conditions for the convergence, as , of the solution of the evolution equation to its stationary state.
Sun, Fuqin, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Cavazzoni, Rita (2010)
Boundary Value Problems [electronic only]
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Paul Godin (2009)
Annales de l'I.H.P. Analyse non linéaire
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Axel Grünrock (2010)
Open Mathematics
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The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces defined by the norm . Local well-posedness for the jth equation is shown in the parameter range 2 ≥ 1, r > 1, s ≥ . The proof uses an appropriate variant of the Fourier restriction norm method. A counterexample is discussed to show that the Cauchy problem for equations of this type is in general ill-posed in the C 0-uniform sense, if s < . The results for r =...