Zobrazeno 1 - 10
of 46
pro vyhledávání: '"35Q35, 76B15"'
Autor:
Du, Lili, Yang, Chunlei
In 1880, Stokes examined an incompressible irrotational periodic traveling water wave under the influence of gravity and conjectured the existence of an extreme wave with a corner of $120^{\circ}$ at the crest. The first rigorous proof of the conject
Externí odkaz:
http://arxiv.org/abs/2410.04178
Autor:
Morgan, A. George
The generalized Benjamin-Bona-Mahony equation (gBBM) is a model for nonlinear dispersive waves which, in the long-wave limit, is approximately equivalent to the generalized Korteweg-de Vries equation (gKdV). While the long-time behaviour of small sol
Externí odkaz:
http://arxiv.org/abs/2402.09605
Autor:
Hong, Christian, Ponce, Gustavo
This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approximation to the Korteweg-de Vries equation in the description of unidirectional propagation of long waves. Our goal here is to study unique continuation
Externí odkaz:
http://arxiv.org/abs/2311.01578
The paper deals with the construction of the asymptotic soliton-like and the asymptotic peakon-like solutions to the modified Camassa-Holm equation with variable coefficicents and a singular perturbation. This equation is a generalization of the well
Externí odkaz:
http://arxiv.org/abs/2307.11578
We derive a $L^1_x (\mathbb R^d)-L^{\infty}_x ( \mathbb R^d)$ decay estimate of order $\mathcal O \left( t^{-d/2}\right)$ for the linear propagators $$\exp \left( {\pm it \sqrt{ |D|\left(1+ \beta |D|^2\right) \tanh |D | } }\right), \qquad \beta \in \
Externí odkaz:
http://arxiv.org/abs/2106.02717
In this paper, we consider a problem inspired by the real-world need to identify the topographical features of ocean basins. Specifically we consider the problem of estimating the bottom impermeable boundary to an inviscid, incompressible, irrotation
Externí odkaz:
http://arxiv.org/abs/2106.00964
We propose in this paper a new nonlinear mathematical model of an oscillating water column (OWC). The one-dimensional shallow water equations in the presence of this device is reformulated as a transmission problem related to the interaction between
Externí odkaz:
http://arxiv.org/abs/2104.11570
In this paper, we consider the Fornberg-Whitham equation and a family of solitary wave solutions is found by using minimization principle, where a related penalization function and the concentration-compactness lemma play a key role in our proof. Bes
Externí odkaz:
http://arxiv.org/abs/2010.07520
Autor:
Duchêne, Vincent, Klein, Christian
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. B. , 27(10), pp. 5905-5933 (2022)
We perform numerical experiments on the Serre-Green-Naghdi (SGN) equations and a fully dispersive "Whitham-Green-Naghdi" (WGN) counterpart in dimension 1. In particular, solitary wave solutions of the WGN equations are constructed and their stability
Externí odkaz:
http://arxiv.org/abs/2005.13234
Autor:
Ivanov, Rossen I., Martin, Calin I.
Publikováno v:
Physics of Fluids 31 (2019) 117103
We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume a constant vorticity in the body of the
Externí odkaz:
http://arxiv.org/abs/1911.05213