Results 81 to 90 of about 1,143,398 (157)

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

The Dual Frequency Spectral Density Function of Locally Periodic Stationary Processes With an Application to Testing for Correlation Between Different Frequency Bands of a Time Series

Journal of Time Series Analysis, Volume 47, Issue 1, Page 158-173, January 2026.
ABSTRACT Harmonizable processes are a class of nonstationary time series, that are characterized by their dependence between different frequencies of a time series. The covariance between two frequencies is the dual frequency spectral density, an object analogous to the spectral density function.
Pramita Bagchi, Noah Bolanos, Jaeseon Lee, Suhasini Subba Rao   +3 more
wiley   +1 more source

Impact of System‐Model Mismatch in Fourier Ptychographic Microscopy

Advanced Photonics Research, Volume 6, Issue 12, December 2025.
This study investigates the robustness of Fourier ptychography microscope (FPM) reconstruction algorithms across various scenarios, each representing challenges encountered in practical FPM experiments, and deduces the extent to which FPM can provide diffraction‐limited resolution under the influence of various sources of error.
Tuo Yin, Gookho Song, Doeon Lee, Jaeyeon Oh, Mooseok Jang   +4 more
wiley   +1 more source

A Geometric Multigrid Solver for the Incompressible Navier–Stokes Equations Using Discretely Divergence‐Free Finite Elements in 3D

International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1609-1622, December 2025.
In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
wiley   +1 more source

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc, Lina Sophie Schmitz, Christoph Walker   +2 more
wiley   +1 more source

Moving Horizon Estimation for Al‐Doped ZnO Nanoparticle Synthesis: An Online UV‐vis Spectroscopy Approach

Nano Select, Volume 6, Issue 12, December 2025.
This study develops a moving horizon estimator for real‐time prediction of AZO nanoparticle properties during sol‐gel synthesis, integrating UV‐vis spectroscopy with a simplified PBE model via DMDc. The method accurately estimates PSD, showing strong agreement with offline data and supporting modern model‐based control to enhance synthesis quality ...
Guohui Yang, Marcel Kévin Jiokeng Dongmo, Thomas Meurer, Hermann Nirschl   +3 more
wiley   +1 more source