Optimizing the Fractional Power in a Model with Stochastic PDE Constraints
Advanced Nonlinear Studies, 2018 We study an optimization problem with SPDE constraints, which has the peculiarity that the control parameter s is the s-th power of the diffusion operator in the state equation.
Geldhauser Carina, Valdinoci Enrico
doaj +1 more source
Solution theory of fractional SDEs in complete subcritical regimes
Forum of Mathematics, SigmaWe consider stochastic differential equations (SDEs) driven by a fractional Brownian motion with a drift coefficient that is allowed to be arbitrarily close to criticality in a scaling sense.
Lucio Galeati, Máté Gerencsér
doaj +1 more source
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
Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Probab Theory Relat Fields, 2023 Rosenzweig M, Staffilani G.
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
Well-posedness for a stochastic 2D Euler equation with transport noise. [PDF]
Stoch Partial Differ Equ, 2023 Lang O, Crisan D.
europepmc +1 more source
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. [PDF]
Stoch Partial Differ Equ, 2022 Harbrecht H, Schmidlin M.
europepmc +1 more source
Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Appl Math Optim, 2021 Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc +1 more source
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation. [PDF]
J Nonlinear Sci, 2021 Scarpa L.
europepmc +1 more source
An order approach to SPDEs with antimonotone terms. [PDF]
Stoch Partial Differ Equ, 2020 Scarpa L, Stefanelli U.
europepmc +1 more source