Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Pengyan Ding"'
Publikováno v:
Electronic Research Archive, Vol 30, Iss 9, Pp 3397-3421 (2022)
This paper is concerned with the long-time dynamical behavior of a piezoelectric system with magnetic effect, which has nonlinear damping terms and external forces with a parameter. At first, we use the nonlinear semigroup theory to prove the well-po
Externí odkaz:
https://doaj.org/article/09e5e8229ef94ecc86621e7bf1ed6326
Autor:
Pengyan Ding, Zhijian Yang
Publikováno v:
Mathematical Methods in the Applied Sciences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67cfe8ab0c83b82b687562e03ff220a2
https://doi.org/10.1002/mma.9200
https://doi.org/10.1002/mma.9200
Autor:
Pengyan Ding, Zhijian Yang
Publikováno v:
Journal of Evolution Equations. 23
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b71ebf99d394de83093e5792c21504f
https://doi.org/10.1007/s00028-023-00872-4
https://doi.org/10.1007/s00028-023-00872-4
Autor:
Pengyan Ding, Yantao Guo
Publikováno v:
Applicable Analysis. 101:592-604
The paper studies the well-posedness and the longtime behaviors of the fractional damping wave equation on R3 with critical nonlinearity, we firstly prove the well-posedness of weak solutions via a...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b40ecf06835f3f53d7c94c115ce0b48
https://doi.org/10.1080/00036811.2020.1757075
https://doi.org/10.1080/00036811.2020.1757075
Publikováno v:
Communications on Pure & Applied Analysis. 18:911-930
The paper investigates longtime dynamics of Boussinesq type equations with gentle dissipation: \begin{document}$ u_{tt}+Δ^2 u+(-Δ)^{α} u_{t}-Δ f(u) = g(x)$\end{document} , with \begin{document}$α∈ (0, 1)$\end{document} . For general bounded do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98d68b27456aab1aafc43a67390474c2
https://doi.org/10.3934/cpaa.2019044
https://doi.org/10.3934/cpaa.2019044
Autor:
Pengyan Ding, Zhijian Yang
Publikováno v:
Communications on Pure & Applied Analysis. 18:825-843
The paper investigates the existence of global and exponential attractors for the strongly damped Kirchhoff wave equation with supercritical nonlinearity on \begin{document}$\mathbb{R}^N$\end{document} : \begin{document}$u_{tt}-φ(x)Δ u_{t}-φ(x)M(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48e82a11b57c4195d461a8cf16325489
https://doi.org/10.3934/cpaa.2019040
https://doi.org/10.3934/cpaa.2019040
Publikováno v:
Applied Mathematics Letters. 76:40-45
The paper investigates the existence of global attractor of Kirchhoff type equations with strong nonlinear damping: u t t − σ ( ‖ ∇ u ‖ 2 ) Δ u t − ϕ ( ‖ ∇ u ‖ 2 ) Δ u + f ( u ) = h ( x ) . It proves that when the growth exponent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38426c35d85c2cedf906c58a39c3f2c5
https://doi.org/10.1016/j.aml.2017.07.008
https://doi.org/10.1016/j.aml.2017.07.008
Autor:
Zhijian Yang, Pengyan Ding
Publikováno v:
Nonlinear Analysis. 161:108-130
The paper investigates the well-posedness and longtime dynamics of Boussinesq type equations with fractional damping: u t t + Δ 2 u + ( − Δ ) α u t − Δ f ( u ) = g ( x ) , with α ∈ ( 1 , 2 ) . The main results focus on the relations among
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ecc46cd7658e6ba4981a277efca1dd3
https://doi.org/10.1016/j.na.2017.05.015
https://doi.org/10.1016/j.na.2017.05.015
Autor:
Pengyan Ding, Zhijian Yang
Publikováno v:
Journal of Mathematical Analysis and Applications. 496:124785
The paper investigates the well-posedness, regularity and longtime behavior of solutions for an extensible beam equation with fractional rotational inertia and structural nonlinear damping: ( 1 + ( − Δ ) θ ) u t t + Δ 2 u − M ( ‖ ∇ u ‖ 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1fa988c7eac1e74a01a1e4378433177
https://doi.org/10.1016/j.jmaa.2020.124785
https://doi.org/10.1016/j.jmaa.2020.124785
Autor:
Zhijian Yang, Pengyan Ding
Publikováno v:
Communications on Pure & Applied Analysis. 20:1059
The paper investigates the well-posedness and the existence of global attractor for a strongly damped wave equation on \begin{document}$ \mathbb{R}^{N} (N\geqslant 3): u_{tt}-\Delta u_{t}-\Delta u+u_{t}+u+g(u) = f(x) $\end{document} . It shows that w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b85ffc826e669882a4f851df75ea5951
https://doi.org/10.3934/cpaa.2021006
https://doi.org/10.3934/cpaa.2021006