Fanhui Xu

activity

20182025

collaborators

8 papers

math.PR2025

Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu

We address the global existence of solutions to the stochastic Navier-Stokes equations with multiplicative noise and with initial data in $H^{1/2} (T^{3})$ . We prove that t…

math.PR2024

Global existence of the stochastic Navier-Stokes equations in $L^{3}$ with small data

Igor Kukavica, Fanhui Xu

We address the global-in-time existence and pathwise uniqueness of solutions for the stochastic incompressible Navier-Stokes equations with a multiplicative noise on the three-dime…

math.AP2021

Local existence of strong solutions to the stochastic Navier-Stokes equations with $L^{p}$ data

Igor Kukavica, Fanhui Xu

For the stochastic Navier-Stokes equations with a multiplicative white noise on $T^{3}$ , we prove that there exists a unique strong solution locally in time when the init…

math.PR2020

Existence and uniqueness of solutions of SDEs with discontinuous drift and finite activity jumps

Paweł Przybyłowicz, Michaela Szölgyenyi, Fanhui Xu

In this letter we prove existence and uniqueness of strong solutions to multi-dimensional SDEs with discontinuous drift and finite activity jumps.

math.PR2019

On some cadlaguity moment estimates of stochastic jump processes

R. Mikulevicius, Fanhui Xu

Using the results of X. Fernique on the compactness of distributions of cadlag random functions, we derive some cadlaguity moment estimates for stochastic processes with jumps.

math.PR2018

On the Cauchy problem for integro-differential equations with space-dependent operators in generalized Hölder classes

Fanhui Xu

Parabolic integro-differential Kolmogorov equations with different space-dependent operators are considered in Hölder-type spaces defined by a scalable Lévy measure. Probabilistic…