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In this paper we extend to $UCW$-hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern-Mann iteration obtained by Dinis and the second author for CAT(0) spaces. These results are new even for uniformly…

最优化与控制 · 数学 2023-02-28 Laurentiu Leustean , Pedro Pinto

In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem both physical and…

This article deals with the error estimates for numerical approximations of the entropy solutions of coupled systems of nonlocal hyperbolic conservation laws. The systems can be strongly coupled through the nonlocal coefficient present in…

数值分析 · 数学 2023-08-04 Aekta Aggarwal , Helge Holden , Ganesh Vaidya

In this paper we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versions of the Rubio de Francia extrapolation theorem in general quasi-Banach function spaces. We prove mapping properties of the generalization…

经典分析与常微分方程 · 数学 2024-09-16 Zoe Nieraeth

Convergence rates results for Tikhonov regularization of nonlinear ill-posed operator equations in abstract function spaces require the handling of both smoothness conditions imposed on the solution and structural conditions expressing the…

数值分析 · 数学 2009-09-29 Radu Ioan Bot , Bernd Hofmann

This paper examines the holographic computation of bulk and shear viscosity ratios in strongly coupled thermal plasmas using the AdS/BCFT correspondence within Horndeski gravity. We demonstrate that this framework leads to non-zero…

高能物理 - 理论 · 物理学 2024-09-19 Fabiano F. Santos

We obtain $q$-Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows, where $q\ge1$ depends on the degree of nonuniformity. Utilizing a martingale-coboundary decomposition for nonuniformly expanding…

动力系统 · 数学 2025-11-07 Ian Melbourne , Zhe Wang

We design convergent multipoint Pade interpolation schemes to Cauchy transforms of non-vanishing complex densities with respect to Jacobi-type weights on analytic arcs, under mild smoothness assumptions on the density. We rely on our…

经典分析与常微分方程 · 数学 2010-10-25 Laurent Baratchart , Maxim Yattselev

We consider the one-dimensional Cauchy problem for the Navier-Stokes equations with degenerate viscosity coefficient in highly compressible regime. It corresponds to the compressible Navier-Stokes system with large Mach number equal to…

偏微分方程分析 · 数学 2015-12-03 Boris Haspot , Ewelina Zatorska

We introduce a new family of refined Sobolev-Malliavin spaces that capture the integrability in time of the Malliavin derivative. We consider duality in these spaces and derive a Burkholder type inequality in a dual norm. The theory we…

概率论 · 数学 2016-02-23 Adam Andersson , Raphael Kruse , Stig Larsson

The use of limiting methods for high-order numerical approximations of hyperbolic conservation laws generally requires defining an admissible region/bounds for the solution. In this work, we present a novel approach for computing solution…

数值分析 · 数学 2025-02-26 Tarik Dzanic , Luigi Martinelli

In this paper, we study the large time behavior of solutions of a class of parabolic fully nonlinear integro-differential equations in a periodic setting. In order to do so, we first solve the ergodic problem}(or cell problem), i.e. we…

偏微分方程分析 · 数学 2014-04-30 Guy Barles , Emmanuel Chasseigne , Adina Ciomaga , Cyril Imbert

A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with…

核理论 · 物理学 2011-02-01 P. Chakraborty , J. I. Kapusta

The use of second order information on the forward operator often comes at a very moderate additional computational price in the context of parameter identification probems for differential equation models. On the other hand the use of…

数值分析 · 数学 2015-06-22 Barbara Kaltenbacher

In the present paper, after recalling the Karcher mean in Hadamard spaces, we study the relation between convergence, almost convergence and mean convergence (respect to the defined mean) of a sequence in Hadamard spaces. These results…

泛函分析 · 数学 2020-05-20 Hadi Khatibzadeh , Hadi Pouladi

We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces. To this end we use $\ell_{\Psi}$-Hilbertian and $\infty$-Hilbertian…

泛函分析 · 数学 2013-09-26 Vitalii Marchenko

We present a rigorous convergence result for the smooth solutions to a singular semilinear hyperbolic approximation, a vector BGK model, to the solutions to the incompressible Navier-Stokes equations in Sobolev spaces. Our proof is based on…

偏微分方程分析 · 数学 2019-12-10 Roberta Bianchini , Roberto Natalini

The Cauchy slicings for globally hyperbolic spacetimes and their relation with the causal boundary are surveyed and revisited, starting at the seminal conformal boundary constructions by R. Penrose. Our study covers: (1) adaptive…

广义相对论与量子宇宙学 · 物理学 2023-02-06 Miguel Sánchez

In this paper, we consider the Cauchy problem for an inviscid compressible Oldroyd-B model in three dimensions. The global well posedness of strong solutions and the associated time-decay estimates in Sobolev spaces are established near an…

偏微分方程分析 · 数学 2021-07-16 Sili Liu , Wenjun Wang , Huanyao Wen

We establish quantitative convergence rates for stochastic particle approximation based on Nanbu-type Monte Carlo schemes applied to a broad class of collisional kinetic models. Using coupling techniques and stability estimates in the…

数值分析 · 数学 2025-04-15 Giacomo Borghi , Lorenzo Pareschi
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