Asymptotic solutions of pseudodifferential wave equations

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dc.creatorMaj, Omar
dc.date2004-11-10
dc.date.accessioned2026-07-07T04:31:37Z
dc.date.available2026-07-07T04:31:37Z
dc.descriptionThe aim of this paper is to give an account of some applications of pseudodifferential calculus for solving linear wave equations in the limit of high frequency/short wavelength waves. More specifically, on using as a benchmark the case of electromagnetic waves propagating in a cold isotropic slowly space- and time-varying plasma, it is shown that, in general, linear plasma waves are governed by pseudodifferential operators. Thereafter, the asymptotic techniques for solving the corresponding pseudodifferential wave equations are presented with emphasis on the paraxial propagation of Gaussian wave trains in a cold isotropic plasma. Finally, it is addressed the unicity of the dispersion tensor in terms of which the considered asymptotic solutions are determined.
dc.descriptionProceedings of the Joint Varenna-Lausanne International Workshop on "Theory of Fusion Plasmas", Varenna 2004
dc.identifierhttps://arxiv.org/abs/math-ph/0411039
dc.identifierhttp://arxiv.org/abs/math-ph/0411039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57881
dc.subjectMathematical Physics
dc.subjectPlasma Physics
dc.titleAsymptotic solutions of pseudodifferential wave equations
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