Global attractors for singular perturbations of the Cahn–Hilliard equations
We consider the singular perturbations of two boundary value problems, concerning respectively the viscous and the nonviscous Cahn–Hilliard equations in one dimension of space.
Milani, Albert, Zheng, Songmu
core +1 more source
A Small-Amplitude Control Method of the Nonlinear Energy Sink Vibration Absorption System
The nonlinear energy sink (NES) is an effective method to weaken or eliminate the line spectra feature of ship machinery equipment. However, due to the strong nonlinearity of the NES, there are multistable attractors in the NES vibration absorption ...
Qingchao Yang, Shuang Li, Jingjun Lou
doaj +1 more source
Hippo pathway at the crossroads of stemness and therapeutic resistance in breast cancer
Dysregulation of the Hippo pathway drives nuclear accumulation of YAP/TAZ, activating stemness‐related transcriptional programs that sustain breast cancer stemness and fuel therapeutic resistance across subtypes, underscoring Hippo signaling as a targetable vulnerability. Figure created and edited with BioRender.com.
Giulia Schiavoni +11 more
wiley +1 more source
Dissipative flows, global attractors and shape theory
In this paper we study continuous parametrized families of dissipative flows, which are those flows having a global attractor. The main motivation for this study comes from the observation that, in general, global attractors are not robust, in the sense ...
José M.R. Sanjurjo +3 more
core +1 more source
CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
wiley +1 more source
Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations.
Djellit Ilham +2 more
doaj +2 more sources
Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations [PDF]
In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces.
Muhammad Jan
doaj +1 more source
Regularity of Global Attractor for the Reaction‐Diffusion Equation [PDF]
By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction‐diffusion equation possesses a global attractor in Sobolev space Hk for all k > 0, which attracts any bounded subset of Hk(Ω) in the Hk‐norm.
openaire +4 more sources
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces
In this paper, based on the notation of time-dependent attractors introduced by Conti, Pata and Temam in (J. Differ. Equ. 255:1254–1277, 2013), we prove the existence of time-dependent global attractors in H t $\mathcal{H}_{t}$ for a class of ...
Kaixuan Zhu, Yongqin Xie, Feng Zhou
doaj +1 more source

