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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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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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참고문헌 (7)
참고문헌 신청
R. Benabidallah / 1999 / On hyperbolic-parabolic equations with nonlinearity of Kirchho-Carrier type in domains with moving boundary / Nonlinear Anal. A: Theory Methods 37(3):269~287
H. R. Clark / 2007 / On the dissipative Boussinesq equation in a non-cylindrical domain / Nonlinear Anal 67(8):2321~2334
하태갑 / 2017 / GLOBAL EXISTENCE AND UNIFORM DECAY OF COUPLED WAVE EQUATION OF KIRCHHOFF TYPE IN A NONCYLINDRICAL DOMAIN / 대한수학회지 54(4):1081~1097
T. G. Ha / 2011 / Global existence and uniform decay of a damped Klein-Gordon equation in a noncylindrical domain / Nonlinear Anal 74(2):577~584
D. J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves / Philos. Mag. (5) 39(240):422~443
H. R. Clark / 2007 / On the dissipative Boussinesq equation in a non-cylindrical domain / Nonlinear Anal 67(8):2321~2334
하태갑 / 2017 / GLOBAL EXISTENCE AND UNIFORM DECAY OF COUPLED WAVE EQUATION OF KIRCHHOFF TYPE IN A NONCYLINDRICAL DOMAIN / 대한수학회지 54(4):1081~1097
T. G. Ha / 2011 / Global existence and uniform decay of a damped Klein-Gordon equation in a noncylindrical domain / Nonlinear Anal 74(2):577~584
D. J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves / Philos. Mag. (5) 39(240):422~443
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