Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (4): 538-544.

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Global Well-posedness of the Generalized Long-short Wave Equations 

  

  1.  ZHANG Rui-feng, LIANG Hong-wei
  • Received:2005-07-12 Online:2006-12-30 Published:2023-11-20
  • About author:ZHANG Rui-feng(1964-),female,native of Kaifeng,Henan,a professor of Henan University, Ph.D.,engages in nonlinear partial differential equations.

Abstract: In the present paper,we investigate the well-posedness of the global solution for the Cauchy problem of generalized long-short wave equations.Applying Kato’s method for abstract quasi-linear evolution equations and a priori estimates of solution,we get the existence of globally smooth solution.

Key words: the generalized long-short wave equations, Kato's method, uniformly a priori
estimate,
global well-posedness

CLC Number: