Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Chunyou Sun"'
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We consider dynamics of a semilinear heat equation on time-varying domains with lower regular forcing term. Instead of requiring the forcing term f ( ⋅ ) $f(\cdot )$ to satisfy ∫ − ∞ t e λ s ∥ f ( s ) ∥ L 2 2 d s < ∞ $\int _{-
Externí odkaz:
https://doaj.org/article/fb5876fee6af4ac38ee22167d4888a54
Publikováno v:
Известия Российской академии наук. Серия математическая. 87:161-210
Детально изучена динамика слабо диссипативных волновых уравнений в ограниченных трехмерных областях в случае, когда коэффициент дисси
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f40018c197352ef8a84f6c4965190bfa
https://doi.org/10.4213/im9250
https://doi.org/10.4213/im9250
Publikováno v:
Journal of Artificial Intelligence and Technology.
With the continuous development of medical informatics and digital diagnosis, the classification of tuberculosis cases from computed tomography (CT) images of the lung based on deep learning is an important guiding aid in clinical diagnosis and treat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6428142a4880c8f2868ea8e4bbb5436a
https://doi.org/10.37965/jait.2023.0153
https://doi.org/10.37965/jait.2023.0153
Publikováno v:
Stochastics and Dynamics. 22
This paper aims at the long-time behavior of non-autonomous 2D Navier–Stokes equations with a class of external forces which are [Formula: see text]-valued measures in time. We first establish the well-posedness of solutions as well as the existenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::598c20a1ba62c2d72e37e0096749066d
https://doi.org/10.1142/s0219493722400366
https://doi.org/10.1142/s0219493722400366
Autor:
Xinhua Li, Chunyou Sun
Publikováno v:
Applied Mathematics Letters. 143:108669
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125667245b7a20ae3bd09f6f5be2a9e7
https://doi.org/10.1016/j.aml.2023.108669
https://doi.org/10.1016/j.aml.2023.108669
Autor:
Xinhua Li, Chunyou Sun
Publikováno v:
Proceedings of the American Mathematical Society. 149:5275-5289
This paper devotes to the existence of an N N -dimensional inertial manifold for a class of singularly, i.e. A ( t ) A(t) may degenerate to 0 0 at some time t t , non-autonomous parabolic equations ∂ t u + A ( t ) u = F ( t , u ) + g ( x , t ) , t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62f6d5918ac2180ae0cd37d73c417250
https://doi.org/10.1090/proc/15606
https://doi.org/10.1090/proc/15606
Publikováno v:
The Journal of Geometric Analysis. 32
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::792644aa8719dcb21511110823a3a04c
https://doi.org/10.1007/s12220-022-01025-8
https://doi.org/10.1007/s12220-022-01025-8
Publikováno v:
Transactions of the American Mathematical Society. 374:3093-3129
The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R 3 \mathbb {R}^3 with quintic nonlinearities. This study includes global well-posedness of the so-called
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::676544309f3e4f1d6e4eb503b02e2194
https://doi.org/10.1090/tran/8317
https://doi.org/10.1090/tran/8317
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 41:569-600
In this paper, the non-autonomous dynamical behavior of weakly damped wave equation with a sup-cubic nonlinearity is considered in locally uniform spaces. We first prove the global well-posedness of the Shatah-Struwe solutions, then establish the exi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4843dbfcb0e31851d49a879b0f0bec5a
https://doi.org/10.3934/dcds.2020270
https://doi.org/10.3934/dcds.2020270