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Rearranged Stochastic Heat Equation. [PDF]
Probab Theory Relat FieldsThe 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 F, Hammersley WRP.
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Generalizing the Heat Equation
Revstat Statistical JournalThe target of this paper is to generalize the Heat Equation, highly related with the Normal distribution. Therefore a generalization of the Normal distribution, the gamma y- order Normal distribution is introduced, which influenced the entropy type ...
Christos Kitsos
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, 2022 The Heat Equation is a partial differential equation that describes the distribution of heat over a period of time. The heat equation is important in many fields of Mathematics.
Xu, Ethan
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From Boltzmann transport equation to single-phase-lagging heat conduction
International Journal of Heat and Mass Transfer, 2008 In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media.
Mingtian Xu, Liqiu Wang
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On Fractional Heat Equation [PDF]
Fractional Calculus and Applied Analysis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kochubei, Anatoly N. +2 more
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method
Eurasian Journal of Science and Engineering, 2023 This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
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Наука. Инновации. Технологии, 2022 Ntroduction. The current state of issues related to the study of the processes of dynamics of atmospheric phenomena, which are quite complex multiparameter in nature, requires a comprehensive approach.
J. L. Smerek +3 more
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Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Open Mathematics, 2023 In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
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Invariants of the heat equation [PDF]
Pacific Journal of Mathematics, 1985 Let M be a compact Riemannian manifold without boundary and \(P: C^{\infty}(V)\to C^{\infty}(V)\) be a self-adjoint elliptic differential operator with leading symbol p(x,\(\xi)\), a matrix for \(x\in M\) and \(\xi \in T^*M_ x\). The authors demonstrate that if p(x,\(\xi)\) is positive definite then the set \(\{e_ n(x,\exp (-tP))\}\), which are ...
Fegan, Howard D., Gilkey, Peter
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A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation
Mathematics, 2021 This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discretized heat or diffusion equation. After discretizing the space and the time variables according to conventional finite difference methods, these new ...
Endre Kovács +2 more
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