Results 51 to 60 of about 31,935 (188)

Bioconvective Chemically Reactive Radiative Squeezing Flow of a Casson Hybrid Nanofluid Between Two Parallel Plates Under Variable Viscosity

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool, Dur‐e‐Shehwar Sagheer, Muhammad Sabeel Khan, Hassan Shahzad   +3 more
wiley   +1 more source

Homotopy theory with *-categories

Theory and Applications of Categories, 2019
We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \infty-categorical G-fixed points and G-orbits for G-equivariant (marked ...
openaire   +2 more sources

A Note on “The Homotopy Category is a Homotopy Category” [PDF]

Journal of Mathematics and Statistics, 2019
In his paper with the title, “The Homotopy Category is a Homotopy Category”, Arne Strom shows that the category Top of topo- logical spaces satisfies the axioms of an abstract homotopy category in the sense of Quillen. In this study, we show by examples that Quillen’s model structure on Top fails to capture some of the subtleties of classical homotopy ...
openaire   +1 more source

Two‐Phase Nanofluid Flow in a Non‐Newtonian Model Past a Deformable Sheet With Magnetized Environmental Effects: Statistical Modeling and ANOVA Analysis

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo, MD. Shamshuddin, Subhajit Panda, Umair Khan   +3 more
wiley   +1 more source

The uniform homotopy category

Journal of Pure and Applied Algebra
This paper gives a uniform-theoretic refinement of classical homotopy theory. Both cubical sets (with connections) and uniform spaces admit classes of weak equivalences, special cases of classical weak equivalences, appropriate for the respective Lipschitz and uniform settings.
Krishnan, Sanjeevi, Ogle, Crichton
openaire   +3 more sources

CONFIGURATION CATEGORIES AND HOMOTOPY AUTOMORPHISMS [PDF]

Glasgow Mathematical Journal, 2018
AbstractLet M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the pair (M, ∂M) can be recovered from the configuration category of M \ ∂M. The grouplike monoid of derived homotopy automorphisms of the configuration category of M \ ∂M then acts on the homotopical model of (M, ∂M).
openaire   +3 more sources

Metasurfaces and Metadevices for Topological Electromagnetic Waves

Advanced Physics Research, EarlyView.
Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie, Nilo Mata‐Cervera, Xi Xie, Yijie Shen   +3 more
wiley   +1 more source

Detecting model categories among Quillen categories using homotopies

Theory and Applications of Categories, 2022
A Quillen category is a category equipped with two weak factorization systems \((\mathcal{C},\mathcal{F}_t)\) and \((\mathcal{C}_t,\mathcal{F})\) such that \(\mathcal{C}_t\subset \mathcal{C}\) and \(\mathcal{F}_t\subset \mathcal{F}\). Every model category gives rise to a Quillen category. The paper gives conditions so that a Quillen category gives rise
openaire   +2 more sources

Homotopy coherent category theory [PDF]

Transactions of the American Mathematical Society, 1997
This article is an introduction to the categorical theory of homotopy coherence. It is based on the construction of the homotopy coherent analogues of end and coend, extending ideas of Meyer and others. The paper aims to develop homotopy coherent analogues of many of the results of elementary category theory, in particular it handles a homotopy ...
Cordier, Jean-Marc, Porter, Timothy
openaire   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source