Results 41 to 50 of about 4,951,195 (308)
Global Attractors for Semilinear Parabolic Problems Involving X-Elliptic Operators
Bruno Pini Mathematical Analysis Seminar, 2015 We consider semilinear parabolic equations involving an operator that is X-elliptic with respect to a family of vector fields X with suitable properties.
Stefanie Sonner
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Global Attractor for Sectorial Evolutionary Equation
Journal of Differential Equations, 1996 Let \(A\) be a sectorial operator with compact resolvent in an appropriate Banach space and consider the evolution equation \(\dot u + Au = F(u)\), \(t > 0\), \(u(0) = u_0\). The authors show that this problem generates a dissipative semigroup whenever an appropriate introductory estimate for solutions is known.
Cholewa, Jan W., Dlotko, Tomasz
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Entropy, 2019 Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the geometrical and topological constraints
Piotr Kalita +2 more
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The human gut microbiome across the life course
FEBS Letters, EarlyView.Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
Regularity of global attractors and exponential attractors for 2D quasi-geostrophic equations with fractional dissipation [PDF]
, 2021 In this paper we investigate the regularity of global attractors and of exponential attractors for two dimensional quasi-geostrophic equations with fractional dissipation in H2α+s (T 2 ) with α > 1 2 and s > 1. We prove the exis tence of (H2α−+s (
Wang, Yejuan +2 more
core +1 more source
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global ...
Andrew A. Komech, Alexander I. Komech
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Global attractors for p-Laplacian equation
Journal of Mathematical Analysis and Applications, 2007 The existence of a global attractor for the following \(p\)-Laplacian equation: \[ u_t-\text{div}\bigl(|\nabla u|^{p-2}\nabla u\bigr)+f(u)=g \quad\text{in } \Omega\times\mathbb{R}^+,\tag{1} \] with the Dirichlet boundary condition \[ u |_{\partial\Omega}=0\tag{2} \] and initial condition \[ u(x,0)=u_0(x)\tag{3} \] is proved in \(W_0^{1,p}(\Omega)\) and
Yang, Meihua +2 more
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Global Attractor for a Chemotaxis Model with Reaction Term [PDF]
Journal of Applied Mathematics, 2013 A chemotaxis model with reproduction term in a bounded domainΩ⊂Rnis discussed in this paper, wheren=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.
Xueyong Chen, Jianwei Shen 0001
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