Results 51 to 60 of about 2,292 (89)

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

Advances 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., Majee Ananta K., Vallet Guy   +2 more
doaj   +1 more source

Heat equation with a general stochastic measure on nested fractals

, 2012
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3 ...
Radchenko, Vadym, Zähle, Martina
core   +1 more source

Stochastic stability and instability of rumor model

Open 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

Strong disorder implies strong localization for directed polymers in a random environment [PDF]

, 2006
In this note we show that in any dimension $d$, the strong disorder property implies the strong localization property. This is established for a continuous time model of directed polymers in a random environment : the parabolic Anderson Model.Comment ...
Carmona, Philippe, Hu, Yueyun
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Well-posedness of the stochastic transport equation with unbounded drift

, 2017
The Cauchy problem for a multidimensional linear transport equation with unbounded drift is investigated. Provided the drift is Holder continuous , existence, uniqueness and strong stability of solutions are obtained.
Mollinedo, David A. C., Olivera, Christian   +1 more
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A note on intermittency for the fractional heat equation [PDF]

, 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
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Early warning signs for SPDEs with continuous spectrum

European 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, Antonia Freya Susanne Düx, Christian Kuehn   +2 more
doaj   +1 more source

Effects of aging and hydrothermal treatment on the crystallization of ZSM-5 zeolite synthesis from bentonite. [PDF]

RSC Adv, 2023
Nguyen DK, Nguyen DK, Dinh VP, Dang NT, Khan DT, Hung NT, Thi Tran NH.   +6 more
europepmc   +1 more source

Blowup solutions of Grushin's operator

, 1906
In this note, we consider the blowup phenomenon of Grushin's operator. By using the knowledge of probability, we first get expression of heat kernel of Grushin's operator.
Lv, Guangying, Wei, Jinlong, Xie, Longjie   +2 more
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Large deviations for 2D-fractional stochastic Navier-Stokes equation on the torus -Short Proof-

, 2013
In this note, we prove the large deviation principle for the 2D-fractional stochastic Navier-Stokes equation on the torus under the dissipation order $ \alpha \in [\frac43, 2]$.Comment: Work submitted to CRAS in 08-08 ...
Debbi, Latifa
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