Results 61 to 70 of about 2,218 (199)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
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 for a class of non-Newtonian micropolar fluids

Electronic Journal of Differential Equations, 2018
In this article we study the long time behavior of the two-dimensional flow for non-Newtonian micropolar fluids in bounded smooth domains, in the sense of pullback attractors.
Geraldo M. de Araujo, Marcos A. F. Araujo, Flank D. M. Bezerra, Mirelson M. Freitas   +3 more
doaj  

Measuring birational derived splinters

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
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, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source

Dynamics of Fractional Stochastic Ginzburg–Landau Equation Driven by Nonlinear Noise

Mathematics, 2022
In this work, we focus on the long-time behavior of the solutions of the stochastic fractional complex Ginzburg–Landau equation defined on Rn with polynomial drift terms of arbitrary order.
Hong Lu, Linlin Wang, Mingji Zhang
doaj   +1 more source

A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor [PDF]

, 2011
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the non-linear term f. The function β"(
Caraballo Garrido, Tomás, Carvalho, Alexandre Nolasco, Langa Rosado, José Antonio, Rivero Garvía, Luis Felipe   +3 more
core  

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
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 measure attractors and evolution system of measures for p-Laplacian Ginzburg–Landau lattice systems driven by superlinear Lévy noise

Advanced Nonlinear Studies
This paper investigates the existence, uniqueness, and asymptotic behavior of pullback measure attractors and evolution systems of measures for a complex-valued p-Laplacian Ginzburg–Landau lattice system (GLLS) driven by superlinear Lévy noise.
Zeng Sangui, Long Jianren, Wang Renhai
doaj   +1 more source

Pullback attractors of nonautonomous dynamical systems

Discrete & Continuous Dynamical Systems - A, 2006
We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang, Chengkui Zhong, Shengfan Zhou   +2 more
openaire   +2 more sources

Smart Catheters for Diagnosis, Monitoring, and Therapy

Advanced Healthcare Materials, Volume 15, Issue 13, 3 April 2026.
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, Samiha Ahmed, Majed Othman Althumayri, Megan Guy, Darlenne Chavez Lugo, Frances S. Ligler, George T. Ligler, Rahmi Oklu, Hiroshi Kawahira, Michael J. McShane, Jun Kameoka, Jonathan Bova, Hatice Ceylan Koydemir   +12 more
wiley   +1 more source

Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on $\mathbb{R}^n$ [PDF]

, 2014
Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on $\mathbb{R}^n$ is investigated.
Li, Hongyan, You, Yuncheng
core   +1 more source