Nonlinear interaction of waves in a hot inhomogeneous magnetized plasma.
Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
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Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
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Alkahby, H.Y. (1996)
International Journal of Mathematics and Mathematical Sciences
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Larisa Beilina, Vitoriano Ruas (2023)
Applications of Mathematics
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It is well known that in the case of constant dielectric permittivity and magnetic permeability, the electric field solving the Maxwell's equations is also a solution to the wave equation. The converse is also true under certain conditions. Here we study an intermediate situation in which the magnetic permeability is constant and a region with variable dielectric permittivity is surrounded by a region with a constant one, in which the unknown field satisfies the wave equation. In this...
d'Avenia, Pietro, Pisani, Lorenzo
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I. S. Shikin (1969)
Annales de l'I.H.P. Physique théorique
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Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Benhadid, Yacine (2007)
APPS. Applied Sciences
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Rémi Sentis (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...
Paul, S.N., Chakraborty, B., Debnath, L. (1985)
International Journal of Mathematics and Mathematical Sciences
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