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Stochastic analysis of Mpox epidemiology with vaccination strategies and environmental persistence. [PDF]
Khondaker F, Kamrujjaman M.
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Stochastic diffusion using mean-field limits to approximate master equations. [PDF]
Hébert-Dufresne L +7 more
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Perpendicular ion heating in turbulence and reconnection: magnetic moment breaking by coherent fluctuations. [PDF]
Mallet A +4 more
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Stochastic differential equations
Physics Reports, 1976Abstract In chapter I stochastic differential equations are defined and classified, and their occurrence in physics is reviewed. In chapter II it is shown for linear equation show a differential equation for the averaged solution is obtained by expanding in ατ c , where α measures the size of the fluctuations and τ c their autocorrelation time. This
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Stochastic evolution equations
Journal of Soviet Mathematics, 1981The theory of strong solutions of Ito equations in Banach spaces is expounded. The results of this theory are applied to the investigation of strongly parabolic Ito partial differential equations.
Krylov, N. V., Rozovskij, B. L.
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On stochastic diffusion equations and stochastic Burgers’ equations
Journal of Mathematical Physics, 1996In this paper we construct a strong solution for the stochastic Hamilton Jacobi equation by using stochastic classical mechanics before the caustics. We thereby obtain the viscosity solution for a certain class of inviscid stochastic Burgers’ equations.
Truman, A., Zhao, H. Z.
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Indefinite Stochastic Riccati Equations
SIAM Journal on Control and Optimization, 2003For some cases where \(R\), \(Q\), and \(H\) can be indefinite, theorems are proved which establish the existence of a unique bounded solution of the matrix stochastic Riccati equation (which arises in stochastic control) \[ \begin{aligned} dP= & \Biggl\{PA+ A'P+ \sum^k_{j=1} (\Lambda_j C_j+ C_j'\Lambda_j+ C_j' PC_j)+ Q\\ & -\Biggl[PB+ \sum^k_{j=1 ...
Hu, Ying, Zhou, Xun Yu
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Stochastic Liouville Equations
Journal of Mathematical Physics, 1963When a dynamical system has a perturbation which is considered as a stochastic process, the Liouville equation for the system in the phase space or the space of quantum-mechanical density operators is a sort of stochastic equation. The ensemble average of its formal integral defines the relaxation operator Φ(t) of the system.
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