Publications related to Heat equation

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

We study the hitting probabilities of the solution to a system of d stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any bounded Borel set with positive (d-6)\documentclass[12pt]{minimal} \usepackage{ ...

Springer/Plenum Publishers2024

Quantitative convergence rates for scaling limit of SPDEs with transport noise

Lucio Galeati

We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic ar ...

Academic Press Inc Elsevier Science2024

SVGC-AVA: 360-Degree Video Saliency Prediction With Spherical Vector-Based Graph Convolution and Audio-Visual Attention

Pascal Frossard, Chenglin Li, Li Wei, Qin Yang, Yuelei Li

Viewers of 360-degree videos are provided with both visual modality to characterize their surrounding views and audio modality to indicate the sound direction. Though both modalities are important for saliency prediction, little work has been done by joint ...

Ieee-Inst Electrical Electronics Engineers Inc2024

Thermal conductivity of Li 3 PS 4 solid electrolytes with ab initio accuracy

Michele Ceriotti, Federico Grasselli

The vast amount of computational studies on electrical conduction in solid-state electrolytes is not mirrored by comparable efforts addressing thermal conduction, which has been scarcely investigated despite its relevance to thermal management and (over)he ...

Amer Physical Soc2024

Decomposition method to evaluate district heating/cooling network potential at urban scale

François Maréchal, Luc Girardin, Ana Catarina Gouveia Braz, Bingqian Liu, Raphaël Briguet

In this work, a tool to design district heating networks (DHN) is presented and applied to the city of Lausanne as a case study. The evaluation of the buildings’ heat/cooling demand is performed using a Geographic Information System (GIS) database, built f ...

Associazione Italiana Di Ingegneria Chimica2024

Stable cones in the thin one-phase problem

Xavier Fernandez-Real Girona

The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one -phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions n >= 3 is completely open. In this context, axial ...

Johns Hopkins Univ Press2024

The elliptical Ornstein-Uhlenbeck process

Sofia Charlotta Olhede

We introduce the elliptical Ornstein-Uhlenbeck (OU) process, which is a generalisation of the well-known univariate OU process to bivariate time series. This process maps out elliptical stochastic oscillations over time in the complex plane, which are obse ...

INT PRESS BOSTON, INC2023

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Robert Dalang, Carsten Hao Ye Chong

We consider a class of parabolic stochastic PDEs on bounded domains D c Rd that includes the stochastic heat equation but with a fractional power gamma of the Laplacian. Viewing the solution as a process with values in a scale of fractional Sobolev spaces ...

INT STATISTICAL INST2023

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Heat equation

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

Quantitative convergence rates for scaling limit of SPDEs with transport noise

SVGC-AVA: 360-Degree Video Saliency Prediction With Spherical Vector-Based Graph Convolution and Audio-Visual Attention

Thermal conductivity of Li 3 PS 4 solid electrolytes with ab initio accuracy

Decomposition method to evaluate district heating/cooling network potential at urban scale

Unearthing the foundational role of anharmonicity in heat transport in glasses

Stable cones in the thin one-phase problem

The elliptical Ornstein-Uhlenbeck process

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Graph Chatbot

Chat with Graph Search

Hitting with Probability One for Stochastic Heat Equations with Additive Noise

Stable cones in the thin one-phase problem

Thermal conductivity of Li 3 PS 4 solid electrolytes with ab initio accuracy

Unearthing the foundational role of anharmonicity in heat transport in glasses

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

The elliptical Ornstein-Uhlenbeck process

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Quantitative convergence rates for scaling limit of SPDEs with transport noise

Decomposition method to evaluate district heating/cooling network potential at urban scale

SVGC-AVA: 360-Degree Video Saliency Prediction With Spherical Vector-Based Graph Convolution and Audio-Visual Attention