Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GLOBAL EXISTENCE AND STABILITY OF A KORTEWEG-DE VRIES EQUATION IN NONCYLINDRICAL DOMAIN

  • Ha, Tae Gab (Department of Mathematics Institute of Pure and Applied Mathematics Chonbuk National University)
  • Received : 2018.05.04
  • Accepted : 2018.10.18
  • Published : 2019.04.30
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Abstract

In this paper, we consider a Korteweg-de Vries equation in noncylindrical domain. This work is devoted to prove existence and uniqueness of global solutions employing Faedo-Galerkin's approximation and transformation of the noncylindrical domain with moving boundary into cylindrical one. Moreover, we estimate the exponential decay of solutions in the asymptotically cylindrical domain.

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References

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