Geodesic
Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 3, pp. 409-433

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We propose a method for determining asymptotic solutions of stationary problems for pencils of differential (and pseudodifferential) operators whose symbol is a self-adjoint matrix. We show that in the case of constant multiplicity, the problem of constructing asymptotic solutions corresponding to a distinguished eigenvalue (called an effective Hamiltonian, term, or mode) reduces to studying objects related only to the determinant of the principal matrix symbol and the eigenvector corresponding to a given (numerical) value of this effective Hamiltonian. As an example, we show that stationary solutions can be effectively calculated in the problem of plasma motion in a tokamak.
Keywords: spectrum, semiclassical asymptotic behavior, plasma equation
Mots-clés : tokamak. 
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     author = {A. Yu. Anikin and S. Yu. Dobrokhotov and A. I. Klevin and B. Tirozzi},
     title = {Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {409--433},
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     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a3/}
}
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A. Yu. Anikin; S. Yu. Dobrokhotov; A. I. Klevin; B. Tirozzi. Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 3, pp. 409-433. http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a3/