Results 11 to 20 of about 2,847,525 (288)
Rearranged Stochastic Heat Equation [PDF]
The purpose of this work is to provide an explicit construction of a strong Feller semigroup on the space of probability measures over the real line that additionally maps bounded measurable functions into Lipschitz continuous functions, with a Lipschitz constant that blows up in an integrable manner in small time.
Delarue, François +1 more
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Flow patterns and heat transfer for flow boiling in small to micro diameter tubes [PDF]
An overview of the recent developments in the study of flow patterns and boiling heat transfer in small to micro diameter tubes is presented. The latest results of a long-term study of flow boiling of R134a in five vertical stainless steel tubes of ...
Karayiannis, TG +3 more
core +6 more sources
The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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Conductive Heat Transfer in Thermal Bridges
A thermal bridge is a component of a building that is characterized by a higher thermal loss compared with its surroundings. Their accurate modeling is a key step in energy performance analysis due to the increased awareness of the importance of ...
Mathias Fuchs
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A method based on the SCT to solve the inverse problem for heat equation [PDF]
In this article, a mathematical model of the inverse problem is considered. Based on this model a formulation of inverse problem for heat equation is proposed. Shifted Chebyshev Tau (SCT) method is suggested to solve the inverse problem.
Samaneh Akbarpour +2 more
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Newton’s law of heating and the heat equation [PDF]
Newton’s law of heating models the average temperature in an object by a simple ordinary differential equation, while the heat equation is a partial differential equation that models the temperature as a function of both space and time. A series solution of the heat equation, in the case of a spherical body, shows that Newton’s law gives an accurate ...
Gockenbach, Mark, Schmidtke, Kristin
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A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods
Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers.
Corey Jason Trahan +3 more
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A Skew Stochastic Heat Equation [PDF]
We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential. We obtain existence of a Markov solution, which is associated with an explicit Dirichlet form.
Bounebache, S.K., Zambotti, L.
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Convergence of the ‘relativistic’ heat equation to the heat equation as $c\to\infty$ [PDF]
We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light $L ^1(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N) $u _0 \geq 0.
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Lack of controllability of the heat equation with memory [PDF]
We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
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