Results 31 to 40 of about 3,173,665 (255)

Long Time Behavior of Solutions to the 2D Boussinesq Equations with Zero Diffusivity [PDF]

Journal of Dynamics and Differential Equations, 2019
We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, $${{\mathbb {R}}}^2$$ R 2 , and on a bounded domain with Lions or Dirichlet boundary conditions. In all the cases, we obtain bounds
I. Kukavica, W. Wang
semanticscholar   +1 more source

Visco-potential free-surface flows and long wave modelling [PDF]

, 2008
In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona, Bona, Bona, Boussinesq, Byatt-Smith, Chen, Chester, Denys Dutykh, Dias, Dias, Dutykh, Dutykh, Dyachenko, Dyachenko, Grimshaw, Joseph, Kakutani, Keulegan, Khabakhpashev, Khabakhpashev, Lamb, Lighthill, Liu, Liu, Liu, Liu, Longuet-Higgins, Matsuuchi, Mei, Mei, Miles, Sugimoto, Sugimoto, Torsvik, Wu, Zabusky, Zakharov, Zakharov   +37 more
core   +4 more sources

Boussinesq equation

, 2015
Boussinesq equation belongs to Korteweg-de Vries kind of equations (Han & Yarkony, 2011). Equation describes the motion of long waves in two dimensions under the gravitation (Han & Yarkony, 2011). Here, we differentiate u = u(x, t) to the needed order.
Seilova, Dana, Akbayev, Olzhas, Assylbek, Yerkezhan, Bakibayeva, Akzhan   +3 more
openaire   +2 more sources

The Baxter equation for quantum discrete Boussinesq equation [PDF]

Nuclear Physics B, 2001
25 ...
openaire   +3 more sources

Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation [PDF]

, 2011
We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one dimensional waves, and consider the case of a flat bottom.
Benjamin, Benjamin, Besse, Besse, Bona, Bona, Bona, Boussinesq, Boussinesq, Chazel, Choi, Colliander, Craig, Craig, Djordjevic, Duchêne, Funakoshi, Grimshaw, Guyenne, Kakutani, Kato, Kenig, Keulegan, Koop, Korteweg, Lannes, Leone, Long, Matsuno, Michallet, Michallet, Ono, Ostrovsky, Sakai, Schneider, Segur, Vincent Duchêne, Walker, Zakharov   +38 more
core   +3 more sources

The “good” Boussinesq equation : long-time asymptotics

Analysis & PDE, 2023
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution of a $3 \times 3$-matrix Riemann-Hilbert problem. We establish formulas for the long-time asymptotics of the solution by performing a Deift-Zhou steepest descent analysis of ...
Charlier, Christophe, Lenells, Jonatan, Wang, Deng-Shan   +2 more
openaire   +4 more sources

Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature [PDF]

Discrete and Continuous Dynamical Systems. Series A, 2019
We show the existence of finite kinetic energy solution with prescribed kinetic energy to the 2d Boussinesq equations with diffusive temperature on torus.
Tianwen Luo, T. Tao, Liqun Zhang
semanticscholar   +1 more source

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

Results in Physics, 2018
In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal, Hawraz N. Jabbar, Khalid K. Ali   +2 more
doaj   +1 more source

Conservation laws of some lattice equations

, 2012
We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger ...
Cheng, Jun-wei, Zhang, Da-jun
core   +1 more source

Miura transformation for the “good” Boussinesq equation

Studies in Applied Mathematics, 2023
AbstractIt is well known that each solution of the modified Korteveg–de Vries (mKdV) equation gives rise, via the Miura transformation, to a solution of the Korteveg–de Vries (KdV) equation. In this work, we show that a similar Miura‐type transformation exists also for the “good” Boussinesq equation. This transformation maps solutions of a second‐order
Charlier, Christophe, Lenells, J.
openaire   +3 more sources