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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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A skew stochastic heat equation [PDF]
Journal of Theoretical Probability, 2011 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.
Bounebache, Said Karim +1 more
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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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Some optimal control problems of heat equations with weighted controls [PDF]
Boundary Value Problems, 2017 In this paper, the time and norm optimal control problems of controlled heat equations with a weight function are considered. For the time optimal problems, we study the following two cases: one is for equations with multi-domain control under null ...
Shufang Liu, Dandan Liu, Guoqi Wang
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The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on integral transform (x-coordinate), we expand integral transform (x ...
Ahmed Jalal, Ahmed Jassim
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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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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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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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