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Solutions of the 2D Radially Symmetric Vlasov-Maxwell System with an Initial Focusing Phase
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math.APmath-phmath.MP
keywords
solutionsarbitrarilynormsradiallysymmetricsystemvlasov-maxwellattain
abstract
We study radially symmetric solutions to the 2D Vlasov-Maxwell system and construct solutions that initially possess arbitrarily small $C^k$ norms ($k \geq 1$) for the charge densities and the electric fields, but attain arbitrarily large $L^\infty$ norms of them at some later time.
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