Results 201 to 210 of about 3,173,665 (255)

Boussinesq Equations in Geophysics

2013
Boussinesq systems of nonlinear partial differential equations are fundamental equations in geophysical fluid dynamics. In this chapter, we use asymmetric ideas and moving frames to solve two-dimensional Boussinesq equations with partial viscosity terms and three-dimensional stratified rotating Boussinesq equations.
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Scattering in the Energy Space for Boussinesq Equations

, 2017
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone.
Claudio Muñoz, Felipe Poblete, Juan C. Pozo   +2 more
semanticscholar   +1 more source

Nonlocal problems for Boussinesq equations

Nonlinear Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion

, 2020
Lizheng Tao, Jiahong Wu, Kun Zhao, Xiaoming Zheng   +3 more
semanticscholar   +1 more source

Optimal Decay Estimates for 2D Boussinesq Equations with Partial Dissipation

, 2021
S. Lai, Jiahong Wu, Xiaojing Xu, Jianwen Zhang, Yueyuan Zhong   +4 more
semanticscholar   +1 more source

Boussinesq's equation on the circle

Physica D: Nonlinear Phenomena, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of the Boussinesq equation

Physica D: Nonlinear Phenomena, 1986
The rational solutions of the Boussinesq equation (mainly those which decay to zero when x goes to infinity) are studied. The solution is written in terms of a function which is assumed to have a polynomial form, and the coefficients are computed. It is interesting to emphasize that rational solutions exist only for some value of maximal degree of the ...
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New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions

Nonlinear dynamics, 2019
A. Wazwaz, L. Kaur
semanticscholar   +1 more source

Dirichlet problem for the Boussinesq–Love equation

Differential Equations, 2016
The author proves the unique solvability of the following Dirichlet problem for the Boussinesq-Love equation: \[ u_{xxyy} - u_{yy} + u_{xx} = 0. \eqno{(1)} \] Solutions \(u(x, y)\in C^{2,2}(D) \cap C^{1,0}(D\cup p) \cap C^{0,1}(D \cup q) \cap C^{0,0}(\overline{D})\) of the equation (1) in \(D ...
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Alternative form of Boussinesq equations for nearshore wave propagation

, 1993
O. Nwogu
semanticscholar   +1 more source