Results 61 to 70 of about 2,524 (105)

Pseudo S-asymptotically Bloch type periodicity with applications to partial stochastic neutral evolution equations [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThis paper introduces the concept of (µ, ν)-pseudo S-asymptotically Bloch type (ω, k)- periodic functions, aiming to extend the framework of periodicity in stochastic analysis and to investigate their role in neutral partial stochastic ...
Marwa Missaoui
doaj   +1 more source

On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise

open access: yesAdvances in Nonlinear Analysis, 2017
In this article, we deal with the stochastic perturbation of degenerate parabolic partial differential equations (PDEs). The particular emphasis is on analyzing the effects of a multiplicative Lévy noise on such problems and on establishing a well ...
Biswas Imran H.   +2 more
doaj   +1 more source

Stochastic stability and instability of rumor model

open access: yesOpen Mathematics
In this study, we present a stochastic rumor model. The stability of the disease-free equilibrium state and instability of the free equilibrium E0{E}_{0} of stochastic epidemics model are considered with the help of Lyapunov functions.
Zhang Jing, Wang Xinyao, Wang Xiaohuan
doaj   +1 more source

A note on intermittency for the fractional heat equation [PDF]

open access: yes, 2013
The goal of the present note is to study intermittency properties for the solution to the fractional heat equation $$\frac{\partial u}{\partial t}(t,x) = -(-\Delta)^{\beta/2} u(t,x) + u(t,x)\dot{W}(t,x), \quad t>0,x \in \bR^d$$ with initial condition ...
Balan, Raluca, Conus, Daniel
core   +1 more source

Decorrelation of total mass via energy [PDF]

open access: yes, 2014
The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the initial states of the two stochastic PDEs is small, then the total masses of ...
Chen, Le   +2 more
core  

Early warning signs for SPDEs with continuous spectrum

open access: yesEuropean Journal of Applied Mathematics
In this work, we study early warning signs for stochastic partial differential equations (SPDEs), where the linearisation around a steady state is characterised by continuous spectrum. The studied warning sign takes the form of qualitative changes in the
Paolo Bernuzzi   +2 more
doaj   +1 more source

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