Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Lianbing She"'
Publikováno v:
Electronic Research Archive, Vol 32, Iss 6, Pp 4011-4024 (2024)
The primary focus of this paper lies in exploring the limiting dynamics of a neural field lattice model with state dependent superlinear noise. First, we established the well-posedness of solutions to these stochastic systems and subsequently proved
Externí odkaz:
https://doaj.org/article/c531d6576d2f44a0b42b8acbeea65b61
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18860-18896 (2024)
The focus of this paper lies in exploring the limiting dynamics of stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions and nonlinear noise in weighted space. To begin, we established the well-posedness of solutions to these
Externí odkaz:
https://doaj.org/article/f59ab5ba5da84c8e8425f89d9a2833d9
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-21 (2021)
Abstract In this paper, we prove the existence of random D $\mathcal{D}$ -attractor for the second-order stochastic delay sine-Gordon equation on infinite lattice with certain dissipative conditions, and then establish the upper bound of Kolmogorov
Externí odkaz:
https://doaj.org/article/f3b148753721457c9a2d288393dd1d12
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
Abstract This paper concerns the long term behavior of the stochastic two-dimensional g-Navier–Stokes equations with additive noise defined on a sequence of expanding domains, where the ultimate domain is unbounded and of Poincaré type. We prove t
Externí odkaz:
https://doaj.org/article/17a21bc7cbd842ac9b29dd84b257ef36
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2018 (2018)
This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable.
Externí odkaz:
https://doaj.org/article/10eddfe587054492b40662089df35a30
Autor:
Nguyen Tien Da, Lianbing She
Publikováno v:
Stochastic Analysis and Applications. :1-40
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec40a8a4f3267f0ffb6e8553bd894227
https://doi.org/10.1080/07362994.2022.2151469
https://doi.org/10.1080/07362994.2022.2151469
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-21 (2021)
In this paper, we prove the existence of random $\mathcal{D}$ D -attractor for the second-order stochastic delay sine-Gordon equation on infinite lattice with certain dissipative conditions, and then establish the upper bound of Kolmogorov ε-entropy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b463b6290b8aeb1183e3bb6db12bcac0
https://doaj.org/article/f3b148753721457c9a2d288393dd1d12
https://doaj.org/article/f3b148753721457c9a2d288393dd1d12
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
This paper concerns the long term behavior of the stochastic two-dimensional g-Navier–Stokes equations with additive noise defined on a sequence of expanding domains, where the ultimate domain is unbounded and of Poincaré type. We prove that the w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::236de66a06373c216bc65d8cc121a5de
http://link.springer.com/article/10.1186/s13660-020-02459-w
http://link.springer.com/article/10.1186/s13660-020-02459-w
Autor:
Lianbing She, Renhai Wang
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:2007-2031
This paper is concerned with the regularity, forward-compactness and measurability of pullback random attractors of non-autonomous stochastic lattice systems with multiplicative white noise as well as random coefficients in weighted spaces. The exist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27b0f4a6fd77e8f191d89c160fa0e7e0
https://doi.org/10.1016/j.jmaa.2019.07.038
https://doi.org/10.1016/j.jmaa.2019.07.038
Publikováno v:
Discrete and Continuous Dynamical Systems - B. 27:5225
This paper is concerned with the asymptotic behavior of solutions to a class of nonlinear coupled discrete wave equations defined on the whole integer set. We first establish the well-posedness of the systems in \begin{document}$ E: = \ell^2\times\el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d44397a5bc36f923d081b32428da5df1
https://doi.org/10.3934/dcdsb.2021272
https://doi.org/10.3934/dcdsb.2021272