Results 41 to 50 of about 206 (175)
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
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Pullback attractors of nonautonomous reaction–diffusion equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Haitao, Wu, Hongqing
openaire +2 more sources
Measuring birational derived splinters
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
wiley +1 more source
This study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for
Li Xintao, Pan Shiyao
doaj +1 more source
Fibrational approach to Grandis exactness for 2‐categories
Abstract In an abelian category, the (bi)fibration of subobjects is isomorphic to the (bi)fibration of quotients. This property captures substantial information about the exactness structure of a category. Indeed, as it was shown by the second author and Weighill, categories equipped with a proper factorization system such that the opfibration of ...
Elena Caviglia +2 more
wiley +1 more source
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
Pullback attractors for a class of semilinear nonclassical diffusion equations with delay
In this article, we analyze the existence of solutions for a nonclassical reaction-diffusion equation with critical nonlinearity, a time-dependent force with exponential growth and delayed force term, where the delay term can be entrained by a ...
Hafidha Harraga, Mustapha Yebdri
doaj
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
doaj +1 more source
Smart Catheters for Diagnosis, Monitoring, and Therapy
This study presents a comprehensive review of smart catheters, an emerging class of medical devices that integrate embedded sensors, robotics, and communication systems, offering increased functionality and complexity to enable real‐time health monitoring, diagnostics, and treatment. Abstract This review explores smart catheters as an emerging class of
Azra Yaprak Tarman +12 more
wiley +1 more source

