Results 1 to 10 of about 3,173,665 (255)
Dissipative Boussinesq equations [PDF]
Comptes Rendus. Mécanique, 2007 The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which ...
Dias, Frédéric, Dutykh, Denys
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Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We construct new integrable coupled systems of N = 1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated by the presence of recursion
Arthemy V. Kiselev, Thomas Wolf
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Higher Order Modulation Equations for a Boussinesq Equation [PDF]
SIAM Journal on Applied Dynamical Systems, 2002 In order to investigate corrections to the common KdV approximation to long waves, we derive modulation equations for the evolution of long wavelength initial data for a Boussinesq equation.
C. Eugene Wayne +3 more
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An Osgood Type Regularity Criterion for the 3D Boussinesq Equations [PDF]
The Scientific World Journal, 2014 We consider the three-dimensional Boussinesq equations, and obtain an Osgood type regularity criterion in terms of the velocity gradient.
Qiang Wu, Lin Hu, Guili Liu
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Nonlinear non-autonomous Boussinesq equations
Electronic Journal of Differential EquationsWe study solitary wave solutions for a nonlinear and non-autonomous Boussinesq system with initial conditions. Since the variable coefficients introduce distortions and modulations of the solution amplitudes, we implement a multiple-scale approach combining various modes in order to capture the coupling between the nonlinear evolution and the ...
Andrei Ludu +2 more
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Vortex Solutions for Thermohaline circulation Equations [PDF]
Journal of Mahani Mathematical Research, 2023 The main objective of this article is to establish a new model and find some vortex axisymmetric solutions of finite core size for this model. We introduce the hydrodynamical equations governing the atmospheric circulation over the tropics, the ...
Mahdi Kamandar
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Results in Physics, 2023 According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the
Mehdi Jafari +3 more
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Boussinesq modeling of surface waves due to underwater landslides [PDF]
Nonlinear Processes in Geophysics, 2013 Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion that govern the evolution of the barycenter of the landslide mass include various dissipative effects due to ...
D. Dutykh, H. Kalisch
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Discrete Boussinesq-type equations [PDF]
, 2021 45 pages, to appear in the CRC press book "Nonlinear Systems and Their Remarkable Mathematical Structures, Vol.
Hietarinta Jarmo, Zhang Da-jun
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AIMS Mathematics, 2023 For all physical spatial dimensions n=2 and 3, we establish a priori estimates of Sobolev norms for free boundary problem of inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion under the Taylor-type sign condition on the initial free ...
Wei Zhang
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