[LLIBRE][B] A course on rough paths
Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …
Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
L Galeati, D Luo - arxiv preprint arxiv:2305.08761, 2023 - arxiv.org
A fundamental open problem in fluid dynamics is whether solutions to $2 $ D Euler
equations with $(L^ 1_x\cap L^ p_x) $-valued vorticity are unique, for some $ p\in [1,\infty) …
equations with $(L^ 1_x\cap L^ p_x) $-valued vorticity are unique, for some $ p\in [1,\infty) …
On Ill‐and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations
We are concerned with the question of well‐posedness of stochastic, three‐dimensional,
incompressible Euler equations. In particular, we introduce a novel class of dissipative …
incompressible Euler equations. In particular, we introduce a novel class of dissipative …
Dynamical heterogeneities close to a colloidal gel
Dynamical heterogeneities in a colloidal fluid close to gelation are studied by means of
computer simulations. A clear distinction between some fast particles and the rest, slow …
computer simulations. A clear distinction between some fast particles and the rest, slow …
On the Navier–Stokes equation perturbed by rough transport noise
Abstract We consider the Navier–Stokes system in two and three space dimensions
perturbed by transport noise and subject to periodic boundary conditions. The noise arises …
perturbed by transport noise and subject to periodic boundary conditions. The noise arises …
[HTML][HTML] Variational principles for fluid dynamics on rough paths
In recent works, beginning with [76], several stochastic geophysical fluid dynamics (SGFD)
models have been derived from variational principles. In this paper, we introduce a new …
models have been derived from variational principles. In this paper, we introduce a new …
Non-autonomous rough semilinear PDEs and the multiplicative Sewing Lemma
A Gerasimovičs, A Hocquet, T Nilssen - Journal of Functional Analysis, 2021 - Elsevier
We investigate existence, uniqueness and regularity for local solutions of rough parabolic
equations with subcritical noise of the form dut− L tutdt= N (ut) d t+∑ i= 1 d F i (ut) d X ti …
equations with subcritical noise of the form dut− L tutdt= N (ut) d t+∑ i= 1 d F i (ut) d X ti …
On a rough perturbation of the Navier–Stokes system and its vorticity formulation
M Hofmanová, JM Leahy, T Nilssen - 2021 - projecteuclid.org
We introduce a rough perturbation of the Navier–Stokes system and justify its physical
relevance from balance of momentum and conservation of circulation in the inviscid limit. We …
relevance from balance of momentum and conservation of circulation in the inviscid limit. We …
Global well-posedness of the 3D Navier–Stokes equations perturbed by a deterministic vector field
F Flandoli, M Hofmanová, D Luo… - The Annals of Applied …, 2022 - projecteuclid.org
We are concerned with the problem of global well-posedness of the 3D Navier–Stokes
equations on the torus with unitary viscosity. While a full answer to this question seems to be …
equations on the torus with unitary viscosity. While a full answer to this question seems to be …
[HTML][HTML] An energy method for rough partial differential equations
We present a well-posedness and stability result for a class of nondegenerate linear
parabolic equations driven by geometric rough paths. More precisely, we introduce a notion …
parabolic equations driven by geometric rough paths. More precisely, we introduce a notion …