Results 31 to 40 of about 92,426 (217)
Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 1295-1316, 15 January 2023., 2023 We consider the upscaled linear elasticity problem in the context of periodic homogenization. Based on measurements of the deformation of the (macroscopic) boundary of a body for a given forcing, it is the aim to deduce information on the geometry of the microstructure.
Tanja Lochner, Malte A. Peter
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 124, Issue 3, Page 714-751, 15 February 2023., 2023 Abstract In this work we present a novel monolithic Finite Element method for the hydroelastic analysis of very large floating structures (VLFS) with arbitrary shapes that is stable, energy conserving, and overcomes the need of an iterative algorithm. The new formulation enables a fully monolithic solution of the linear free‐surface flow, described by ...
Oriol Colomés +2 more
wiley +1 more source
Stochastic homogenization on perforated domains II – Application to nonlinear elasticity models
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 102, Issue 12, December 2022., 2022 Abstract Based on a recent work that exposed the lack of uniformly bounded W1,p→W1,p$W^{1,p}\rightarrow W^{1,p}$ extension operators on randomly perforated domains, we study stochastic homogenization of nonlinear p‐elasticity, 1
Martin Heida
wiley +1 more source
Reconstructing volatility: Pricing of index options under rough volatility
Mathematical Finance, Volume 33, Issue 1, Page 19-40, January 2023., 2023 Abstract Avellaneda et al. (2002, 2003) pioneered the pricing and hedging of index options – products highly sensitive to implied volatility and correlation assumptions – with large deviations methods, assuming local volatility dynamics for all components of the index.
Peter K. Friz, Thomas Wagenhofer
wiley +1 more source
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
wiley +1 more source
Journal of Inequalities and Applications, 2021 This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed points of a nonexpansive mapping on Hadamard
Doaa Filali +4 more
doaj +1 more source
Nonautonomous Dynamical Systems, 2021 The purpose of this informal paper is three-fold: First, filling a gap in the literature, we provide a (necessary and sufficient) principle of linearized stability for nonautonomous difference equations in Banach spaces based on the dichotomy spectrum ...
Pötzsche Christian, Russ Evamaria
doaj +1 more source
An integrability criterion for a projective limit of Banach distributions [PDF]
, 2021 We give an integrability criterion for a projective limit of Banach distributions on a Fr\'echet manifold which is a projective limit of Banach manifolds. This leads to a result of integrability of projective limit of involutive bundles on a projective sequence of Banach manifolds. This can be seen as a version of Frobenius Theorem in Fr\'echet setting.
arxiv +1 more source
Rough integrators on Banach manifolds [PDF]
Bulletin des Sciences Mathématiques, 2019 We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a ...
openaire +6 more sources
Stability and Persistence of Synchronization in a System with a Diffusive-Time-Lag Coupling
Sultan Qaboos University Journal for Science, 2008 We study synchronization in the framework of invariant manifold theory for systems with a time lag. Normal hyperbolicity and its persistence in infinite dimensional dynamical systems in Banach spaces is applied to give general results on synchronization
Adu A.M. Wasike
doaj +1 more source