Weak well-posedness of energy solutions to singular SDEs with supercritical distributional drift
L Gräfner, N Perkowski - arXiv preprint arXiv:2407.09046, 2024 - arxiv.org
We study stochastic differential equations with additive noise and distributional drift on
$\mathbb {T}^ d $ or $\mathbb {R}^ d $ and $ d\geqslant 2$. We work in a scaling …
$\mathbb {T}^ d $ or $\mathbb {R}^ d $ and $ d\geqslant 2$. We work in a scaling …
Effective diffusivities in periodic KPZ
Y Gu, T Komorowski - Probability Theory and Related Fields, 2024 - Springer
For the KPZ equation on a torus with a 1+ 1 spacetime white noise, it was shown in Dunlap
et al.(Commun Pure Appl Math, 2023, https://doi. org/10.1002/cpa. 22110) and Gu and …
et al.(Commun Pure Appl Math, 2023, https://doi. org/10.1002/cpa. 22110) and Gu and …
-superdiffusivity for the 2d stochastic Burgers equation
D De Gaspari, L Haunschmid-Sibitz - arXiv preprint arXiv:2404.07728, 2024 - arxiv.org
The Stochastic Burgers equation was introduced in [H. van Beijeren, R. Kutner and H.
Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous approximation …
Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous approximation …
(log t) 2 3-superdiffusivity for the 2d stochastic Burgers equation
D De Gaspari, L Haunschmid-Sibitz - Electronic Journal of …, 2024 - projecteuclid.org
Abstract The Stochastic Burgers equation was introduced in [H. van Beijeren, R. Kutner and
H. Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous …
H. Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous …
A critical drift-diffusion equation: intermittent behavior
F Otto, C Wagner - arXiv preprint arXiv:2404.13641, 2024 - arxiv.org
We consider a drift-diffusion process with a time-independent and divergence-free random
drift that is of white-noise character. We are interested in the critical case of two space …
drift that is of white-noise character. We are interested in the critical case of two space …