Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms
Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
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Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
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Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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Frédéric Charve (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter is small enough, and for regular initial data (oscillating part in and quasigeostrophic part in ).
Bachelot, Alain (1989)
Portugaliae mathematica
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J. Ginibre, G. Velo (1989)
Annales de l'I.H.P. Analyse non linéaire
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P. Brenner (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Zhuan Ye (2015)
Colloquium Mathematicae
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We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.
François Golse (2001-2002)
Séminaire Équations aux dérivées partielles
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This paper discusses two new directions in velocity averaging. One is an improvement of the known velocity averaging results for functions. The other shows how to adapt some of the ideas of velocity averaging to a situation that is essentially a new formulation of the Vlasov-Maxwell system.