4 papers · 1 filter
On the approximation of finite-time Lyapunov exponents for the stochastic Burgers equation
Alexandra Blessing, Dirk Blömker
We analyze stochastic partial differential equations (SPDEs) with quadratic nonlinearities close to a change of stability. To this aim we compute finite-time Lyapunov exponents (FT…
Taylor-like approximations of center manifolds for rough differential equations
Alexandra Blessing, Dennis Rudik
The dynamics of rough differential equations (RDEs) has recently received a lot of interest. For example, the existence of local random center manifolds for RDEs has been establish…
An integrable bound for semilinear rough partial differential equations with unbounded diffusion coefficients
Alexandra Blessing, Mazyar Ghani Varzaneh
This work develops moment bounds for the controlled rough path norm of the solution of semilinear rough partial differential equations.~The novel aspects are two-fold: first we con…
Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
Alexandra Blessing, Tim Seitz, Stefanie Sonner +1
We investigate stochastic parabolic evolution equations with time-dependent random generators and locally Lipschitz continuous drift terms. Using pathwise mild solutions, we constr…