Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Menglan Liao"'
Autor:
Yonghang Chang, Menglan Liao
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 25659-25688 (2024)
In this paper, the Cauchy problem for a class of coupled system of the four-dimensional cubic focusing nonlinear Schrödinger equations was investigated. By exploiting the double Duhamel method and the long-time Strichartz estimate, the global well-p
Externí odkaz:
https://doaj.org/article/b859966e9bcc47f493aee5b4e49f2089
Autor:
Yonghang Chang, Menglan Liao
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 2, Pp 293-306 (2024)
In this paper, the Cauchy problem for the nonlinear Schrödinger system $ \begin{equation*} \begin{cases} i\partial_tu_1(x, t) = \Delta u_1(x, t)-|u_1(x, t)|^{p-1}u_1(x, t)-|u_2(x, t)|^{p-1}u_1(x, t), \\ i\partial_tu_2(x, t) = \Delta u_2(x, t)-|u_
Externí odkaz:
https://doaj.org/article/a8db10c07b704f7c94685064b8280a26
Autor:
Zayd Hajjej, Menglan Liao
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30668-30682 (2023)
In this paper, a system of coupled quasi-linear and linear wave equations with a finite memory term is concerned. By constructing an appropriate Lyapunov function, we prove that the total energy associated with the system is stable under suitable con
Externí odkaz:
https://doaj.org/article/c6dcaa926c7c40469bdc7fd092c1d11e
Autor:
Zayd Hajjej, Menglan Liao
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 28450-28464 (2023)
In this manuscript we consider a coupled, by second order terms, system of two wave equations with a past history acting on the first equation as a stabilizer. We show that the solution of this system decays exponentially by constructing an appropria
Externí odkaz:
https://doaj.org/article/df9ad4fa6dff4ae690b86bd2dedebbe6
Autor:
Menglan Liao, Zhong Tan
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 1 (2023)
The goal of the present paper is to study the viscoelastic wave equation with the time-varying delay under initial-boundary value conditions. By using the multiplier method together with some properties of the convex functions, the explicit and gener
Externí odkaz:
https://doaj.org/article/821ec5f9f42f455ea192f1853ee6f23a
Autor:
Qingwei Li, Menglan Liao
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1352 (2023)
In this paper, a singular non-Newton polytropic filtration equation under the initial-boundary value condition is revisited. The finite time blow-up results were discussed when the initial energy E(u0) was subcritical (E(u0)
Externí odkaz:
https://doaj.org/article/b1c3737a31f24357a486caebfc5a68e5
Publikováno v:
Journal of Differential Equations. 340:45-82
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0471b200995dee701c8a24357882d58b
https://doi.org/10.1016/j.jde.2022.08.036
https://doi.org/10.1016/j.jde.2022.08.036
Autor:
Hajjej, Zayd, Menglan Liao
Publikováno v:
AIMS Mathematics; 2023, Vol. 8 Issue 12, p30668-30682, 15p
Autor:
Hajjej, Zayd, Menglan Liao
Publikováno v:
AIMS Mathematics; 2023, Vol. 8 Issue 12, p28450-28464, 15p
Autor:
Menglan Liao, Qingwei Li
Publikováno v:
Mediterranean Journal of Mathematics. 20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b49be15f467a153f4230902952991298
https://doi.org/10.1007/s00009-023-02391-5
https://doi.org/10.1007/s00009-023-02391-5