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Existence and Uniqueness of Solutions to the Boussinesq System with Nonlinear211 Thermal Diffusion. Modelling, Analysis and Simulation

机译：具有非线性211热扩散的Boussinesq系统解的存在唯一性。建模，分析和模拟

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The Boussinesq system arises in fluid mechanics when motion is governed by211u001edensity gradients caused by temperature or concentration differences. In the 211u001eformer case and when thermodynamical coefficients are regarded as temperature 211u001edependent, the system consists of the Navier-Stokes equations and the nonlinear 211u001eheat equation coupled through the viscosity, buoyancy, and convective terms. 211u001eAccording to the balance between specific heat and thermal conductivity, the 211u001ediffusion term in the heat equation may lead to a singular or degenerate 211u001eparabolic equation. In this paper, we prove the existence of solutions of the 211u001egeneral problem as well as the uniqueness of solutions when the spatial dimension 211u001eis two.

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作者
Diaz, J. I.; Galiano, G.;
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年度 1997
页码 1-26
总页数 26
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Thermal diffusion; Nonlinear differential equations; Convection; 211 Solutions(General); Thermal conductivity; Heat transfer; Viscosity; Buoyancy; 211 Thermodynamics; Fluid mechanics; Parabolic differential equations; Navier-Stokes 211 equation;

机译：热扩散;非线性微分方程;对流; 211解（通用）;热导率;传热;粘度;浮力; 211热力学;流体力学;抛物微分方程; Navier-stokes 211方程;

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3. EXISTENCE AND UNIQUENESS OF THE SOLUTION OF A BOUSSINESQ SYSTEM WITH NONLINEAR DISSIPATION [J] . Dominique Blanchard, Nicolas Bruyère, Olivier Guibé Communications on pure and applied analysis . 2013,第5期

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6. A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaokas Extended Boussinesq Equations [O] . Mohammad Hadi Jabbari, Parviz Ghadimi, Mesbah Sayehbani, 2013

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7. Existence and uniqueness of solutions to the Boussinesq system with nonlinear thermal diffusion [O] . J. I. Diaz, G. Galiano 1997

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8. Spatial and Time Localization of Solutions of the Boussinesq System with211 Nonlinear Thermal Diffusion. Modelling, Analysis and Simulation [R] . Gailiano, G. 1997

机译：具有211非线性热扩散的Boussinesq系统解的空间和时间局部化。建模，分析和模拟

Existence and Uniqueness of Solutions to the Boussinesq System with Nonlinear211 Thermal Diffusion. Modelling, Analysis and Simulation

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