Results 41 to 50 of about 3,173,665 (255)
Vortex Theory for Two Dimensional Boussinesq Equations
, 2020 In this paper, the single center vortex method (SCVM) is extended to find some vortex solutions of finite core size for dissipative 2D Boussinesq equations. Solutions are expanded in to series of Hermite eigenfunctions. After confirmation the convergence
M. Sharifi, Behruz Raesi
semanticscholar +1 more source
On Schrödinger-Boussinesq equations
Advances in Differential Equations, 2004 We study local and global well-posedness for the initial-value problem associated to the one-dimensional Schrödinger-Boussinesq equations in low regularity spaces. To establish these results we make use of sharp $L^p$-$L^q$ estimates.
Linares, F., Navas, A.
openaire +2 more sources
Exact Solutions Superimposed with Nonlinear Plane Waves
International Journal of Differential Equations, 2016 The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have
B. S. Desale, Vivek Sharma
doaj +1 more source
, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
core +1 more source
Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion [PDF]
, 2017 We consider the space-time evolution of initial discontinuities of depth and flow velocity for an integrable version of the shallow water Boussinesq system introduced by Kaup.
A. M. Kamchatnov +15 more
core +3 more sources
Global well-posedness for the 2D Boussinesq equations with a velocity damping term [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 In this paper, we prove global well-posedness of smooth solutions to the two-dimensional incompressible Boussinesq equations with only a velocity damping term when the initial data is close to an nontrivial equilibrium state $(0,x_2)$.
Renhui Wan
semanticscholar +1 more source
Results in Physics, 2017 The Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–Petviashvili equations describe weakly dispersive and small amplitude waves propagating in a quasi three-dimensional media.
Kalim Ul-Haq Tariq, A.R. Seadawy
doaj +1 more source
Blow-up criterion for the density dependent inviscid Boussinesq equations
Boundary Value Problems, 2020 In this work, we consider the density-dependent incompressible inviscid Boussinesq equations in R N ( N ≥ 2 ) $\mathbb{R}^{N}\ (N\geq 2)$ . By using the basic energy method, we first give the a priori estimates of smooth solutions and then get a blow-up ...
Li Li, Yanping Zhou
doaj +1 more source
Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq equations
, 2008 We establish a connection between Optimal Transport Theory and classical Convection Theory for geophysical flows. Our starting point is the model designed few years ago by Angenent, Haker and Tannenbaum to solve some Optimal Transport problems.
C. Doering +31 more
core +2 more sources
Pseudospectral Method for the "Good" Boussinesq Equation [PDF]
Mathematics of Computation, 1991 The paper deals with the pseudospectral time-discrete method for the ''good'' Boussinesq equation. The difficulties in the study of the stability of the aliasing error in the nonlinear term are removed in a way which is roughly equivalent to the use of negative Sobolev norms. Numerical comparisons with finite difference schemes are also given.
de Frutos, J. +2 more
openaire +2 more sources