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arxiv 2206.09087 v2 pith:TIUSQXFV submitted 2022-06-18 math.AP math-phmath.MP

Solutions of the 2D Radially Symmetric Vlasov-Maxwell System with an Initial Focusing Phase

classification math.AP math-phmath.MP
keywords solutionsarbitrarilynormsradiallysymmetricsystemvlasov-maxwellattain
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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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