On Plane Oscillations of the Cold Plasma in a Constant Magnetic Field

We consider a class of two-dimensional solutions of the cold plasma equations compatible with a constant magnetic field and a constant electric field. For this class, under various assumptions about the electric field, we study the conditions on the initial data that guarantee the global existence o...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.285 (6), p.855-865
Main Author: Rozanova, O. S.
Format: Article
Language:English
Subjects:
Cauchy problems
Cold plasmas
Electric fields
Magnetic fields
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
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Summary:We consider a class of two-dimensional solutions of the cold plasma equations compatible with a constant magnetic field and a constant electric field. For this class, under various assumptions about the electric field, we study the conditions on the initial data that guarantee the global existence of the classical solution of the Cauchy problem for a given period of time or a finite time blow-up. Particular attention is paid to the class of solutions with axial symmetry.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07480-8