Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Xu, Fanhui"'
Autor:
Kukavica, Igor, Xu, Fanhui
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-dimensional torus. Under natural smallness conditions on the noise, we pro
Externí odkaz:
http://arxiv.org/abs/2410.02919
By employing a suitable multiplicative It\^o noise with radial structure and with more than linear growth, we show the existence of a unique, global-in-time, strong solution for the stochastic Euler equations in two and three dimensions. More general
Externí odkaz:
http://arxiv.org/abs/2305.09852
We address the local well-posedness for the stochastic Navier-Stokes system with multiplicative cylindrical noise in the whole space. More specifically, we prove that there exists a unique local strong solution to the system in $L^p(\mathbb{R}^3)$ fo
Externí odkaz:
http://arxiv.org/abs/2301.12877
Autor:
Kukavica, Igor, Xu, Fanhui
For the stochastic Navier-Stokes equations with a multiplicative white noise on ${\mathbb T}^{3}$, we prove that there exists a unique strong solution locally in time when the initial datum belongs to $L^p(\Omega; L^p)$ for $p>3$.
Externí odkaz:
http://arxiv.org/abs/2110.07091
In this letter we prove existence and uniqueness of strong solutions to multi-dimensional SDEs with discontinuous drift and finite activity jumps.
Externí odkaz:
http://arxiv.org/abs/2010.01955
Autor:
Kukavica, Igor, Xu, Fanhui
Publikováno v:
In Journal of Differential Equations 25 June 2023 359:183-210
Autor:
Mikulevicius, R., Xu, Fanhui
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.
Externí odkaz:
http://arxiv.org/abs/1901.01179
Autor:
Mikulevicius, R., Xu, Fanhui
Parabolic integro-differential non degenerate Cauchy problem is considered in the scale of H\"older spaces of functions whose regularity is defined by a radially O-regularly varying L\'evy measure. Existence and uniqueness and the estimates of the so
Externí odkaz:
http://arxiv.org/abs/1810.00262
Autor:
Xu, Fanhui
Parabolic integro-differential Kolmogorov equations with different space-dependent operators are considered in H\"{o}lder-type spaces defined by a scalable L\'{e}vy measure. Probabilistic representations are used to prove continuity of the operator.
Externí odkaz:
http://arxiv.org/abs/1810.00677
Autor:
Mikulevičius, Remigijus, Xu, Fanhui
An integro-differential Kolmogorov equation is considered in H\"{o}lder-type spaces defined by a scalable L\'{e}vy measure. Some properties of those spaces and estimates of the solution are derived using probabilistic representations.
Externí odkaz:
http://arxiv.org/abs/1806.07019