Artículos de revistas
Comparison Between Model Equations For Long Waves And Blow-up Phenomena
Registro en:
Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 442, p. 273 - 290, 2016.
0022-247X
1096-0813
WOS:000376837100016
10.1016/j.jmaa.2016.04.062
Autor
Carvajal
X.; Panthee
M.; Scialom
M.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Recently, to describe the unidirectional propagation of water waves, Bona et al. [7] introduced a fifth order KdV-BBM type model eta(t) + eta(x) - 1/6 eta(xxt) + delta(1)eta(xxxxt) + delta(2)eta(xxxxx) + 3/4(eta(2))(x) +gamma(eta(2))(xxx) - 1/12(eta(2)(x))(x) - 1/4(eta(3))(x) = 0, (0.1) where eta = eta(x, t) is a real-valued function, and delta(1) > 0, delta(2), gamma is an element of R. In this work, we plan to compare solution of the initial value problem (IVP) associated to the fifth-order KDV-BBM type model (0.1) to that of the IVP associated to the fifth-order KdV model u(t) + delta(3)u(xxxxx) + c(1)u(x)u(xx) + c(2)uu(xxx) + c(3)u(2)u(x) = 0, (0.2) where u = u(x, t) is a real-valued function and delta(3), c(1), c(2) and c(3) are real constants with delta(3) not equal 0. This later model (0.2) was proposed by Benney in [4] to describe the interaction of long and short waves. Also, we will study the possibility of blow-up phenomenon of the fifth-order KDV-BBM type model under certain restrictions on the coefficients. (C) 2016 Elsevier Inc. All rights reserved. 442 1 273 290 IMECC under project FAPESP-Brazil [2012/23054-6] CNPq-Brazil [304036/2014-5, 481715/2012-6, 479558/2013-2, 305483/2014-5] FAPESP-Brazil [2012/20966-4] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)