Stochastic theory for pattern formation and front propagation in transitional pipe turbulence. [PDF]
Wang X, Shih HY, Goldenfeld N.
europepmc +1 more source
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
Bertalan T +5 more
europepmc +1 more source
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine +2 more
wiley +1 more source
Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry. [PDF]
Carrillo JA +3 more
europepmc +1 more source
Diffusion Priors Enhanced Velocity Model Building From Time‐Lag Images Using a Neural Operator
Abstract Velocity model building (VMB) serves as a crucial component for achieving high precision subsurface imaging. However, conventional VMB methods are often computationally expensive and time consuming. In recent years, with the rapid advancement of deep learning, particularly the success of generative models and neural operators (NOs), deep ...
Xiao Ma +2 more
wiley +1 more source
An optimal Petrov-Galerkin framework for operator networks. [PDF]
Charles P +9 more
europepmc +1 more source
Abstract This paper investigates the dynamic evolution of a storm‐time “Super‐EPB” event over China on 1 December 2023 (Kp ≤ 7, SYM/H ≥ −130 nT) using multi‐instrument observations. Occurring near sunset as the IMF‐Bz abruptly turned southward, with auroral extension to midlatitudes, the “Super‐EPB” extended to 40°N with an apex height of ∼2,460 km ...
Longchang Sun +11 more
wiley +1 more source
From Dirac Structures to Port-Hamiltonian Partial Differential Equations, a Tutorial Introduction. [PDF]
Zwart H.
europepmc +1 more source
Infrared‐Guided Super‐Resolution of Remotely Sensed Passive Microwave Sea Surface Temperature
Abstract High‐resolution sea surface temperature (SST) is essential for weather forecasting and climate applications. Passive microwave (MW) SST offers largely cloud‐penetrating coverage but is coarse and spatially smoothed, whereas infrared (IR) SST resolves fine‐scale structures but is frequently cloud‐obscured.
Wenjie Zhou, Xiaofeng Yang
wiley +1 more source

