Results 151 to 160 of about 1,393 (185)

Approximate Inertial Manifolds to the Newton-Boussinesq Equations

Journal of Partial Differential Equations, 1996
The authors construct two approximate inertial manifolds for the following two-dimensional Newton-Boussinesq equations: \[ {\partial\over\partial t} \Delta\psi+J(\psi,\Delta\psi)=\Delta^2\psi-{R_a\over P_r} {\partial\theta\over\partial x},\quad {\partial\theta\over\partial t}+J(\psi,\theta)={1\over P_r} \Delta\theta, \] where \(J(u,v)=u_yv_x-u_xv_y\), \
Guo, Boling, Wang, Bixiang
openaire   +2 more sources

Boussinesq approximation in the Rayleigh-Benard problem

Fluid Dynamics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Approximate Conservation Laws for an Integrable Boussinesq System

Mathematical Modelling of Natural Phenomena, 2017
Summary: The so-called Kaup-Boussinesq system is a model for long waves propagating at the surface of a perfect fluid. In this work, a derivation of approximate local conservation equations associated to the Kaup-Boussinesq system is given. The derivation of the approximate balance laws is based on reconstruction of the velocity field and the pressure ...
Ali, A., Juliussen, B.-S., Kalisch, Henrik   +2 more
openaire   +1 more source

Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids

Journal of Optimization Theory and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Approximation methods for boundary control of the Boussinesq equations

52nd IEEE Conference on Decision and Control, 2013
In this paper we discuss an approximation method for dealing with Dirichlet boundary control of thermal-fluid systems. The physics of displacement ventilation and buoyancy-driven flows are described by the Boussinesq equations. We first develop a computational algorithm for solving the corresponding LQR control problem for the Boussinesq equations with
John A. Burns, Weiwei Hu
openaire   +1 more source

On the Validity of the Boussinesq Approximation for the Elder Problem

Computational Geosciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Polynomial approximate solutions to the Boussinesq equation

Advances in Water Resources, 2006
Abstract We provide closed-form approximate solutions to models of horizontal infiltration described by the Boussinesq equation in a semi-infinite aquifer that is initially dry. The approximations preserve such important qualitative properties as scaling and wetting fronts. They are applicable to four types of boundary conditions, two on head and two
Aleksey S. Telyakovskiy, Myron B. Allen
openaire   +1 more source

The Boussinesq approximation in a rotating frame of reference

Journal of Non-Equilibrium Thermodynamics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramos, Eduardo, Vargas, Minerva
openaire   +2 more sources

On the Oberbeck–Boussinesq Approximation on Unbounded Domains

2012
We study the Oberbeck–Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a general unbounded domain in R 3. We provide a rigorous justification of the model by means of scale analysis of the full Navier–Stokes–Fourier system in the low Mach and Froude number regime on large domains, the diameter of ...
Eduard Feireisl, Maria E. Schonbek
openaire   +3 more sources

Numerical approximations to the Boussinesq equations

2010
A study of the Boussinesq equations in one dimension is presented. These equations describe the nonlinear wave propagation of a free surface under inviscid, incompressible, and irrotational constraints. Physically, they describe the motion of long waves (compared to the depth of the domain) which find applications in oceanography and coastal ...
openaire   +1 more source