We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′. Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some ...
Weiliang Xiao +3 more
doaj +1 more source
On Determination Method for Resolution of Secondary Electron Images in Scanning Electron Microscopy
An idealized SEM, termed Rayleigh's microscope, is constructed by Monte Carlo simulation to represent imaging conditions that just satisfy the Rayleigh criterion. Based on this physically defined model, sharpness–resolution conversion curves are established and combined with the Rose criterion, enabling automated resolution evaluation from practical ...
Tongfang Yang, Yanbo Zou, Zejun Ding
wiley +1 more source
Hedging error in Lévy models with a Fast Fourier Transform approach [PDF]
We measure, in terms of expectation and variance, the cost of hedging a contingent claim when the hedging portfolio is re-balanced at a discrete set of dates.
Marco Nicolosi, Flavio Angelini
core
A polar Fourier geometric approach to volume-free single-particle 3D reconstruction
We introduce a compact mathematical formulation for the inverse single-particle 3D reconstruction problem, a high-dimensional inverse problem in which millions of parameters are estimated from extremely noisy experimental measurements. Given a collection
Cong T. S. Van +4 more
doaj +1 more source
Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI
ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time‐consuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia +7 more
wiley +1 more source
Fourier-Mukai transforms and stability conditions on abelian threefolds [PDF]
Construction of Bridgeland stability conditions on a given Calabi-Yau threefold is an important problem and this thesis realizes the rst known examples of such stability conditions.
Piyaratne, Hathurusinghege Dulip Bandara
core
Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas +10 more
wiley +1 more source
American Call Options on Jump-Diffusion Processes: A Fourier Transform Approach [PDF]
This paper considers the Fourier transform approach to derive the implicit integral equation for the price of an American call option in the case where the underlying asset follows a jump-diffusion process.
Andrew Ziogas, Carl Chiarella
core
Discrete Fourier restriction phenomenon associated with some periodic dispersive equations [PDF]
"The thesis consists of six chapters. In Chapter 1, we will briefly introduce the background of the topic, as well as some results we already know. The next five chapters can be divided into two parts.
Hu, Yi
core
Fourier truncation method for an inverse source problem for space-time fractional diffusion equation
In this article, we study an inverse problem to determine an unknown source term in a space time fractional diffusion equation, whereby the data are obtained at a certain time.
Nguyen Huy Tuan, Le Dinh Long
doaj

