Results 111 to 120 of about 7,987 (264)
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Nonlinear Optimal Control for Stochastic Dynamical Systems
MathematicsThis paper presents a comprehensive framework addressing optimal nonlinear analysis and feedback control synthesis for nonlinear stochastic dynamical systems.
Manuel Lanchares, Wassim M. Haddad
doaj +1 more source
On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
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Asymptotic Stability of Port-Hamiltonian Systems [PDF]
We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from C0-semigroup theory.
Waurick, Marcus, Zwart, Hans; id_orcid
core +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
EnergiesThe control of many industrial processes, such as superheated steam temperature control, exhibits poor robustness and degraded accuracy in the presence of model parameter uncertainties. This paper addresses this issue by developing a novel interval power
Gang Zhao, Hongxia Zhu, Hang Yi
doaj +1 more source
ChemPhysChem, Volume 26, Issue 6, March 15, 2025.What happens, if in the synthesis of flat silver platelets, the slow deposition of silver along twinning faults is disturbed by the addition of a nobler metal? We have looked into it and found a way to fine‐tune the metal deposition in lateral and vertical direction.
Jonas Kluitmann +3 more
wiley +1 more source
Corporate Social Responsibility and Environmental Management, EarlyView.ABSTRACT This study aims to enhance academic understanding of the factors influencing the disclosure practices of climate change among European utility companies, specifically in the context of their sustainability reporting. The primary objective is to explore, through a multi‐theoretical framework, the governance drivers that significantly affect the
Cristina Boţa‐Avram +2 more
wiley +1 more source
On the local dynamics of polynomial difference equations with fading stochastic perturbations
, 2010 We examine the stability-instability behaviour of a polynomial difference equa- tion with state-independent, asymptotically fading stochastic perturbations. We find that the set of initial values can be partitioned into a stability region, an instability
Kelly, C. +3 more
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