Results 81 to 90 of about 2,218 (199)
Random dynamics of dispersive-dissipative wave equations driven by nonlinear colored noise
This paper is devoted to the asymptotic behavior of solutions to a class of non-autonomous random dispersive-dissipative wave equations driven by nonlinear colored noise defined on unbounded domains.
Wenjun Ma, Qiaozhen Ma
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Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay [PDF]
In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are ...
Caraballo Garrido, Tomás +1 more
core
Critically fixed Thurston maps: classification, recognition, and twisting
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley +1 more source
In this article, we establish sufficient conditions on the existence and upper semi-continuity of pullback attractors in some non-initial spaces for non-autonomous random dynamical systems.
Wenqiang Zhao
doaj
On the Dynamics of Abstract Retarded Evolution Equations
This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
openaire +3 more sources
Assembly of constructible factorization algebras
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson +2 more
wiley +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Enhancing Quantum Approximate Optimization Algorithm Through Manifold Optimization
We propose the models of Riemannian manifold optimization techniques to enhance the performance of the quantum approximate optimization algorithm (QAOA) for combinatorial optimization problems on near‐term quantum devices. The approach leverages the intrinsic geometric structure of the problem domain, addressing the nonconvexity of the QAOA objective ...
Qingqing Yu +3 more
wiley +1 more source
In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ and Cγ,W1,r(Ω) $C_ ...
Yanping Ran, Jing Li
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