Early warning signs for SPDEs with continuous spectrum
European Journal of Applied MathematicsIn 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
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 with initial condition bounded above and below, where β ∈ (0, 2] and the noise W behaves in time like a fractional Brownian motion of index
Raluca M Balan, Daniel Conus
core
Mixing via controllability for randomly forced nonlinear dissipative PDEs [PDF]
, 2019 We continue our study of the problem of mixing for a class of PDEs with very degenerate noise. As we established earlier, the uniqueness of stationary measure and its exponential stability in the dual-Lipschitz metric holds under the hypothesis that the ...
Vahagn Nersesyan +5 more
core +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 +6 more
europepmc +1 more source
Inverse problems and uncertainty quantification [PDF]
, 2013 In a Bayesian setting, inverse problems and uncertainty quantification (UQ)— the propagation of uncertainty through a computational (forward) model—are strongly connected. In the form of conditional expectation the Bayesian update becomes computationally
Matthies, Hermann G. +1 more
core
Computation of the Response Surface in the Tensor Train data format [PDF]
, 2014 We apply the Tensor Train (TT) approximation to construct the Polynomial Chaos Expansion (PCE) of a random field, and solve the stochastic elliptic diffusion PDE with the stochastic Galerkin discretization.
Matthies, Hermann G. +3 more
core
Stochastic partial differential equations with Dirichlet white-noise boundary conditions [PDF]
, 2001 . – The paper is devoted to one-dimensional nonlinear stochastic partial differential equations of parabolic type with non homogeneous Dirichlet boundary conditions of white-noise type. We formulate a set of conditions that a random field must satisfy to
Alòs, Elisa +3 more
core
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness [PDF]
, 2014 In this paper linear stochastic transport and continuity equations with drift in critical Lp spaces are considered. In this situation noise prevents shocks for the transport equation and singularities in the density for the continuity equation, starting ...
Beck, Lisa +4 more
core
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. [PDF]
Stoch Partial Differ Equ, 2023 Fahim K, Hausenblas E, Kovács M.
europepmc +1 more source
Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]
J Math Biol, 2023 Katsaounis D +2 more
europepmc +1 more source