Results 11 to 20 of about 3,000,291 (292)
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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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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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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On the Stability of Heat Equation [PDF]
Abstract and Applied Analysis, 2013 We prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.
Balázs Hegyi, Soon-Mo Jung
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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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Solving the Boltzmann equation deterministically by the fast spectral method : application to gas microflows [PDF]
, 2014 Based on the fast spectral approximation to the Boltzmann collision operator, we present an accurate and efficient deterministic numerical method for solving the Boltzmann equation.
Reese, Jason M., Zhang, Yonghao, Wu, Lei
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Newton’s law of heating and the heat equation [PDF]
Involve, a Journal of Mathematics, 2009 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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Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation [PDF]
, 2020 We study stochastic reaction--diffusion equation ∂tut(x)=12∂2xxut(x)+b(ut(x))+W˙t(x),t>0,x∈D where b is a generalized function in the Besov space Bβq,∞(R), D⊂R and W˙ is a space-time white noise on R+×D.
Butkovsky, O. +8 more
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A Skew Stochastic Heat Equation [PDF]
Journal of Theoretical Probability, 2012 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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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 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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