9 papers · 1 filter
The Navier-Stokes equations with transport noise in critical space
Mustafa Sencer Aydın, Fanhui Xu
We study the Navier-Stokes equations with transport noise in critical function spaces. Assuming the initial data belongs to almost surely, we establish the existence and…
The stochastic Navier-Stokes equations with general data
Mustafa Sencer Aydın, Igor Kukavica, Fanhui Xu
We consider the stochastic Navier-Stokes equations with multiplicative noise with critical initial data. Assuming that the initial data belongs to the critical space …
Almost global existence for the stochastic Navier-Stokes equations with small 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 . We prove that t…
Global existence of the stochastic Navier-Stokes equations in 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…
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.
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.