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Blow-up of solution for a generalized Boussinesq equation 被引量:1

Blow-up of solution for a generalized Boussinesq equation
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摘要 This paper studies the initial boundary value problem for a generalized Boussinese equation and proves the existence and uniqueness of the local generalized solution of the problem by using the Galerkin method. Moreover, it gives the sufficient conditions of blow-up of the solution in finite time by using the concavity method. This paper studies the initial boundary value problem for a generalized Boussinese equation and proves the existence and uniqueness of the local generalized solution of the problem by using the Galerkin method. Moreover, it gives the sufficient conditions of blow-up of the solution in finite time by using the concavity method.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第11期1437-1443,共7页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (No.10671182) the Excellent Youth Teachers Foundation of High College of Henan Province of China
关键词 Boussinesq equation initial boundary value problem local solution blow-up of the solution Boussinesq equation, initial boundary value problem, local solution, blow-up of the solution
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参考文献10

  • 1Professor Robert T. Glassey.Blow-up theorems for nonlinear wave equations[J].Mathematische Zeitschrift.1973(3)
  • 2Chen Guowang,Wang Yanping,Zhao Zhancai.Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation[].Journal of Applied Mathematics.2004
  • 3Chen Guowang,Wang Yanping,Wang Shubin.Initial boundary value problem of the generalized cubic double dispersion equation[].Journal of Mathematical Analysis and Applications.2004
  • 4Wang Yanping.The existence of the global solution to a class of nonlinear wave equation[].The Practice and Realization in Mathematics.2004
  • 5Glaesey R T.Blow-up theorems for nonlinear wave equations[].Mathematische Zeitschrift.1973
  • 6Rosenau P.Dynamics of dense lattices[].Physical Review.1987
  • 7Samsonov A M,Sokurinskaya E V.On existence of longitudinal strain solitons in an infinite nonlinearly elastic rod[].Soy Phys-Doklady.1988
  • 8Samsonov A M.Nonlinear strain waves in elastic waveguide[].Nonlinear Waves in Solids.1994
  • 9Samsonov A M.On some exact travelling wave solutions for nonlinear hyperbolic equation[].πPitmann Resarch Notes in Mathematics Series.1993
  • 10Porubov A V.Strain solitary waves in an elastic rod with microstructure[].Rend Sem Mat Univ Politec Torino.2000

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