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RESEARCHANNOUNCEMENTS——TheCauchyProblemsandGlobalSolutionstoDeybeSystemandBurgers'EquationsinPseudomeasureSpaces

RESEARCH ANNOUNCEMENTS The Cauchy Problems and Global Solutions to Deybe System and Burgers' Equations in Pseudomeasure Spaces
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摘要 In this paper we consider the construction of solutions to the Cauchy problem of Burgers' equations ut-γ△u+u·u=0,t∈R^+,x∈R^3(1) u(0,x)=u0(x),x∈R^3(2)
作者 原保全
出处 《数学进展》 CSCD 北大核心 2004年第6期755-758,共4页 Advances in Mathematics(China)
基金 foundationitem:ThisworkispartlysupportedbytheNationalNaturalScienceFoundationofChinaandtheScienceFoundationfortheExcellentYoungTeacherofHenanProvince.
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参考文献5

  • 1Biler P,Cannone M,Guerra I,Karch G.Global regular and singular solutions for a model of gravitatingparticles[].Preprints.2002
  • 2Cannone M,Karch G.Smooth or singular solutions to the Navier-Stokes system[].Journal of DifferentialEquations.2004
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  • 4Miao Changxing,Yuan Baoquan.Solutions for some Nonlinear Parabolic Equations in PseudomeasureSpaces[].Preprints.
  • 5Biler P.Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-fluxboumdary conditions[].Nonlinear Analysis.1992

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