Results 61 to 70 of about 3,173,665 (255)

Dissipative Boussinesq System of Equations in the B\'enard-Marangoni Phenomenon

, 1993
By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a B\'enard-Marangoni system is obtained.
A. N. Garazo, C. M. Alfaro, D. J. Kaup, G. B. Whitham, J. G. Pereira, J. V. Wehausen, L. F. J. Broer, M. A. Manna, R. A. Kraenkel, R. A. Kraenkel, R. A. Kraenkel, R. D. Benguria, R. K. Dodd, S. M. Kurcbart, T. Taniuti   +14 more
core   +1 more source

Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]

, 2009
We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay, Erbay , Husnu A., Erbay , Hüsnü A., Erkip, Albert   +3 more
core   +1 more source

CFD Analysis of Dual‐Layer PCM Roofs for Thermal Mitigation in Residential Buildings

Heat Transfer, EarlyView.
ABSTRACT This study presents a computational fluid dynamics analysis of dual‐layer phase change material (PCM) roofs for passive cooling in residential buildings under the hot and humid climate of Bangladesh. A three‐dimensional transient model was developed in ANSYS Fluent using the enthalpy–porosity approach to simulate coupled heat conduction ...
Mohammad Junaid, Sakhawat Hossan Robel, Mahmud Or‐Rashid, Pabel Shahrear, Md Shajedul Karim, Suvash C. Saha, Goutam Saha   +6 more
wiley   +1 more source

A simple and direct method for generating travelling wave solutions for nonlinear equations

, 2007
We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear ...
A. Silva, Ablowitz, Ablowitz, Ablowitz, Almeida, Ashok Das, Bazeia, Bazeia, Bazeia, Boussinesq, D. Bazeia, Das, Dickey, Drazin, Faddeev, Gardner, Hirota, Korteweg, L. Losano, Lax, Lax, Mathieu, Miura, Olver, Whitham, Zakharov, Zakharov, Zakharov   +27 more
core   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Conservation Laws, Symmetries, and Line Soliton Solutions of Generalized KP and Boussinesq Equations with p-Power Nonlinearities in Two Dimensions [PDF]

Theoretical and mathematical physics, 2017
Nonlinear generalizations of integrable equations in one dimension, such as the Korteweg–de Vries and Boussinesq equations with p-power nonlinearities, arise in many physical applications and are interesting from the analytic standpoint because of their ...
S. Anco, M. Gandarias, E. Recio
semanticscholar   +1 more source

On non-stationary boussinesq equations

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1991
In a cylindrical domain \(\Omega\times(0,T)\), where \(\Omega\in\mathbb{R}^ n\) (\(2\leq n\leq 4\)) the initial-boundary value problem for the nonstationary Boussinesq system was considered. The author claims theorems of existence and uniqueness for a weak solution with a reproductive property of the problem stated.
openaire   +3 more sources

Moist convection and radiative cooling: Dynamical response and scaling

Quarterly Journal of the Royal Meteorological Society, EarlyView.
The mechanism that sets the updraught velocities in deep convective clouds is studied here using cloud‐resolving model simulations in radiative–convective equilibrium. We show that, for simulations with vastly different rates of radiative cooling and surface temperatures, the buoyancy in clouds remains remarkably constant (histogram shown here).
Lokahith Agasthya, Caroline Muller
wiley   +1 more source

Numerical Researches of Rectangular Barge in Variable Bathymetry Based on Boussinesq-Step Method

Advances in Civil Engineering, 2022
Wave responses of the rectangular barge in variable bathymetry are investigated by combining the Boussinesq-type equations and the step method. The highly accurate Boussinesq-type equations in terms of velocity potential are adopted for simulating the ...
Yan Su
doaj   +1 more source

On the Variant Boussinesq Equations [PDF]

Zeitschrift für Naturforschung A, 1997
Abstract We extend the generalized tan h method to the variant Boussinesq equations and obtain certain solitary-wave and new exact solutions.
Yi-Tian Gao, Bo Tian
openaire   +1 more source