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The symmetric $p$-Laplace operator enters various models in mathematical physics, such as incompressible materials with power-type hardening and non-Newtonian fluids. In this work, second-order differentiability properties of solutions to…

偏微分方程分析 · 数学 2026-03-19 Linus Behn , Andrea Cianchi , Lars Diening , Fa Peng

This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approximation together with the full space of piecewise linear…

数值分析 · 数学 2014-01-29 Douglas N. Arnold , Gerard Awanou , Ragnar Winther

Consider an ambient medium and a heterogeneous entity composed of a bidimensional material surrounded by a thin membrane. The electromagnetic constants of these materials are different. By analogy with biological cells, we call this entity…

偏微分方程分析 · 数学 2007-05-23 Clair Poignard

We prove a lower bound on the rank of tensors constructed from families of linear maps that `expand' the dimension of every subspace. Such families, called {\em dimension expanders} have been studied for many years with several known…

组合数学 · 数学 2025-12-10 Zeev Dvir

We have calculated the surface stress induced on adsorption of c(2x2) overlayers of O and C, using first principles electronic structure calculations based on density functional theory within the local density approximation(LDA) and…

材料科学 · 物理学 2009-11-10 Sampyo Hong , Abdelkader Kara , Talat S. Rahman , Rolf Heid , Klaus Peter Bohnen

We explore the well-posedness of the fractional version of Zener's wave equation for viscoelastic solids, which is based on a constitutive law relating the stress tensor $\boldsymbol{\sigma}$ to the strain tensor $\boldsymbol\varepsilon(\bf…

偏微分方程分析 · 数学 2020-02-17 Ljubica Oparnica , Endre Süli

We construct propagators in Euclidean AdS(d+1) space-time for massive p-forms and massive symmetric tensors.

高能物理 - 理论 · 物理学 2009-10-31 Asad Naqvi

Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the electromagnetic stress tensor in a medium with permittivity…

高能物理 - 理论 · 物理学 2018-06-20 Prachi Parashar , Kimball A. Milton , Yang Li , Hannah Day , Xin Guo , Stephen A. Fulling , Ines Cavero-Pelaez

New string models in D=4 space-time extended by tensor central charge coordinates $z_{mn}$ are constructed. We use the $z_{mn}$ coordinates to generate string tension using a minimally extended string action linear in $dz^{mn}$. It is shown…

高能物理 - 理论 · 物理学 2011-07-19 A. A. Zheltukhin , U. Lindström

This article presents the derivation of the stress-energy tensor of a free scalar field with a general non-linear dispersion relation in curved spacetime. This dispersion relation is used as a phenomelogical description of the short…

高能物理 - 理论 · 物理学 2009-11-07 Martin Lemoine , Musongela Lubo , Jerome Martin , Jean-Philippe Uzan

We identify a class of composite membranes: fluid bilayers coupled to an elastic meshwork, that are such that the meshwork's energy is a function $F_\mathrm{el}[A_\xi]$ \textit{not} of the real microscopic membrane area $A$, but of a…

软凝聚态物质 · 物理学 2011-03-02 Jean-Baptiste Fournier , David Lacoste , Elie Raphael

We study the properties of an exact multi-membrane solution in seven-dimensional maximal SO(5)-gauged supergravity. Unlike previously known multi-centered solutions, the present one is asymptotically anti-de Sitter. We show that this…

高能物理 - 理论 · 物理学 2009-11-07 James T. Liu , W. Y. Wen

We perform a systematic study, in eleven dimensional supergravity, of the geometry of wrapped brane configurations admitting $AdS_2$ limits. Membranes wrapping holomorphic curves in Calabi-Yau manifolds are found to exhibit some novel…

高能物理 - 理论 · 物理学 2010-10-27 Oisin A. P. Mac Conamhna , Eoin O Colgain

This extended article presents a thermomechanical approach for calculating the stress tensor from the thermodynamic potential of inhomogeneous fluids and some applications to ionic fluids. The technique, based on the invariance of the…

软凝聚态物质 · 物理学 2024-12-25 Yu. A. Budkov , N. N. Kalikin , P. E. Brandyshev

We consider the problem of decomposing higher-order moment tensors, i.e., the sum of symmetric outer products of data vectors. Such a decomposition can be used to estimate the means in a Gaussian mixture model and for other applications in…

数值分析 · 数学 2020-10-06 Samantha Sherman , Tamara G. Kolda

In this paper, we prove the global existence of small smooth solutions to the three-dimensional incompressible Oldroyd-B model without damping on the stress tensor. The main difficulty is the lack of full dissipation in stress tensor. To…

偏微分方程分析 · 数学 2018-03-20 Yi Zhu

Using fluid/gravity correspondence, we determine the (linearized) stress energy tensor of $\mathcal{N}=4$ super-Yang-Mills theory at strong coupling with all orders in derivatives of fluid velocity included. We find that the dissipative…

高能物理 - 理论 · 物理学 2014-11-04 Yanyan Bu , Michael Lublinsky

We find a renormalized "time-dependent diffusion coefficient", D(t), for pulsed excitation of a nominally diffusive sample by solving the Bethe-Salpeter equation with recurrent scattering. We observe a crossover in dynamics in the…

无序系统与神经网络 · 物理学 2009-11-10 S. K. Cheung , X. Zhang , Z. Q. Zhang , A. A. Chabanov , A. Z. Genack

We develop a constitutive model allowing for the description of the rheology of two-dimensional soft dense suspensions above jamming. Starting from a statistical description of the particle dynamics, we derive, using a set of…

软凝聚态物质 · 物理学 2021-11-23 Nicolas Cuny , Romain Mari , Eric Bertin

We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators $\sigma$ and $\epsilon$, and the stress tensor $T_{\mu\nu}$. We…