17 citations · 17 across the 3 of their papers we have counts for
5 papers
Controlled viscosity solutions of fully nonlinear rough PDEs
Massimiliano Gubinelli, Samy Tindel, Iván Torrecilla
We propose a definition of viscosity solutions to fully nonlinear PDEs driven by a rough path via appropriate notions of test functions and rough jets. These objects will be define…
Inviscid Limit for 2D Stochastic Navier-Stokes equations
Fernanda Cipriano, Iván Torrecilla
We consider stochastic Navier-Stokes equations in a 2D-bounded domain with the Navier with friction boundary condition. We establish the existence and the uniqueness of the solutio…
On a 2D stochastic Euler equation of transport type: existence and geometric formulation
Ana Bela Cruzeiro, Iván Torrecilla
We prove weak existence of Euler equation (or Navier-Stokes equation) perturbed by a multiplicative noise on bounded domains of with Dirichlet boundary conditions and…
Some differential systems driven by a fBm with Hurst parameter greater than 1/4
Samy Tindel, Iván Torrecilla
This note is devoted to show how to push forward the algebraic integration setting in order to treat differential systems driven by a noisy input with Hölder regularity greater tha…
A fractional Poisson equation: existence, regularity and approximations
Marta Sanz-Solé, Iván Torrecilla
We consider a stochastic boundary value elliptic problem on a bounded domain , driven by a fractional Brownian field with Hurst parameter $H=(H_1,...,H_k)\in…