Self-similar Solutions for a Transport Equation with Non-local Flux

Self-similar Solutions for a Transport Equation with Non-local Flux

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摘要 The authors construct self-similar solutions for an N-dimensional transport equation,where the velocity is given by the Riezs transform.These solutions imply nonuniqueness of weak solution.In addition,self-similar solution for a one-dimensional conservative equation involving the Hilbert transform is obtained.

作者 Angel CASTRO Diego CóRDOBA

机构地区 Instituto de Ciencias Matemticas

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第5期505-512,共8页 数学年刊（B辑英文版）

基金 Project supported by the MCINN (Spain) (No.MTM2008-03754) the ERC (No.StG-203138CDSIF)

关键词 Hilbert transform Riesz transform Transport equations Self-similar solutions 输运方程自相似解流量希尔伯特变换 N维类似弱解一维

分类号 O241 [理学—计算数学]

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Chinese Annals of Mathematics,Series B

2009年第5期

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Self-similar Solutions for a Transport Equation with Non-local Flux

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