Results 51 to 60 of about 576,001 (212)
Approximation of ill-posed boussinesq equations [PDF]
Dynamical Systems, 2004 In this paper we compare the dynamics on the centre manifold of the solutions of an ill-posed Boussinesq equation with a well-posed version. We show that the dynamics in the centre manifold of the ill-posed equation tracks the dynamics of the well-posed equation. Our results give partial justification to the long-wave perturbation theory.
Diogo A. Gomes, Claudia Valls
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Heat Transfer, EarlyView.ABSTRACT Several engineering problems involve the need to model conjugate heat transfer processes considering the temperature‐dependence of the material properties. Consequently, a simulation tool capable of modeling this process is of great interest. In this context, the present work proposes a thermal lattice Boltzmann method (TLBM) for modeling the ...
Julia Akiko Sassa +2 more
wiley +1 more source
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
Mathematische Nachrichten, EarlyView.ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
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Boussinesq-Peregrine water wave models and their numerical approximation
, 2019 © 2020 Elsevier Inc. In this paper we consider the numerical solution of Boussinesq-Peregrine type systems by the application of the Galerkin finite element method.
Dimitrios Mitsotakis (8510154) +5 more
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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 +2 more
wiley +1 more source
MATEC Web of Conferences, 2016 The two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or ...
Goncharova Olga, Rezanova Ekaterina
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
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Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations
MathematicsThis paper develops the mathematical apparatus of studying control problems for the stationary model of magnetic hydrodynamics of viscous heat-conducting fluid in the Boussinesq approximation.
Gennadii Alekseev, Yuliya Spivak
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Macroscopic Convective Fluid Flows Arising From Binding of Ions and Small Molecules to Proteins
Small, EarlyView.The interaction of ions or small molecules with proteins causes convective flows due to the displacement of water from the hydration shell. As shown, the replacement of the nickel ion removed from urease by EDTA pre‐treatment results in binding‐induced convective fluid flow.
Shanid Babu Shrestha +4 more
wiley +1 more source
Effect of shape and sizes of a local heat source on convective heat transfer in a square cavity [PDF]
Компьютерные исследования и моделирование, 2015 Numerical analysis of the effects of the local heat source shape on transient natural convection in a square enclosure has been carried out. The local heat source has rectangular, triangular and trapezoidal shape. The boundary value problem formulated in
N. S. Gibanov +1 more
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