Optical leptons.
Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Kingsep, A. (1999)
Discrete Dynamics in Nature and Society
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Osman, Frederick, Beech, Robert (2005)
Journal of Applied Mathematics and Decision Sciences
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Stubbe, Joachim, Vázquez, Luis (1989)
Portugaliae mathematica
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Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
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Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
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Freise, Andreas, Strain, Kenneth (2010)
Living Reviews in Relativity [electronic only]
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Mahmood, M. F., Brooks, S. (2003)
International Journal of Mathematics and Mathematical Sciences
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Alkahby, Hadi Yahya, Mahrous, M.A. (1999)
International Journal of Mathematics and Mathematical Sciences
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Thierry Colin, Mathieu Colin, Guy Métivier (2006-2007)
Séminaire Équations aux dérivées partielles
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In this paper, we present a nonlinear model for laser-plasma interaction describing the Raman amplification. This system is a quasilinear coupling of several Zakharov systems. We handle the Cauchy problem and we give some well-posedness and ill-posedness result for some subsystems.
R. Belaouar, T. Colin, G. Gallice, C. Galusinski (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study a Zakharov system coupled to an electron diffusion equation in order to describe laser-plasma interactions. Starting from the Vlasov-Maxwell system, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged between the plasma waves and the electrons via Landau damping. Two existence theorems are established in a subsonic regime. Using a time-splitting, spectral discretizations for the Zakharov system and a finite difference scheme...