Results 61 to 70 of about 27,859 (206)
GENIAL framework. Summary of the main steps of the framework to infer and analyze GRN. Summary Tomato (Solanum lycopersicum), despite being the most important vegetable crop world‐wide, remains vulnerable to over 200 diseases caused by different pests.
Maxime Multari +12 more
wiley +1 more source
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj +1 more source
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley +1 more source
H^2-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion
We prove some regularity results for the pullback attractor of a non- autonomous SIR model with diffusion in a bounded domain Ω of Rd where d ≥ 1. We show a regularity result for the unique solution of the prob- lem.
Anguiano Moreno, María
core +1 more source
The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
First, for a process { ( , ) | ≥ }, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets {M( ) | ≤ }, for any ∈ R, satisfying the following: ; that is, M( ) pullback exponential attracts ( ).
Yongjun Li, Yanhong Zhang, Xiaona Wei
core
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj +1 more source
PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS [PDF]
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay forcing term which, in particular, covers the models of sine–Gordon type. The result follows from the existence of a compact set which is uniformly attracting for the two-parameter semigroup associated to the model.
Caraballo Garrido, Tomás +2 more
openaire +4 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [PDF]
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Caraballo Garrido, Tomás +8 more
core +1 more source

