Results 11 to 20 of about 5,645 (111)

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain

, 2018
Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
core   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Continuation for thin film hydrodynamics and related scalar problems

, 2018
This chapter illustrates how to apply continuation techniques in the analysis of a particular class of nonlinear kinetic equations that describe the time evolution through transport equations for a single scalar field like a densities or interface ...
A Dhooge, A Novick-Cohen, A Novick-Cohen, A Oron, A Oza, A Sharma, AA Golovin, AA Golovin, AJ Archer, B Nicolaenko, C Alfaro, D Avitabile, D Bindel, D Bonn, D Tseluiko, D Wetzel, D Zhelyazov, D. Schüler, DJB Lloyd, E Makrides, E. Siero, EJ Doedel, EJ Doedel, EJ Doedel, F. Doumenc, G Bordyugov, G Sivashinsky, G. Kozyreff, Giovanni Formica, Gyula I Tóth, H Emmerich, H Sakaguchi, H Uecker, H Uecker, H Uecker, HA Dijkstra, HC Chang, HP Fischer, IG Kevrekidis, IL Kliakhandler, IL Kliakhandler, J Burke, J Swift, J Sánchez, J Ziegler, J. D. Crawford, J. H. Snoeijer, JHP Dawes, JM Hyman, John Burke, JW Cahn, JW Cahn, K Spratte, Len M. Pismen, LM Pismen, LÓ Náraigh, M Cates, M Doi, M H Köpf, M Kardar, M Morales, M Net, M Wilczek, M Zaks, Markus Wilczek, MC Cross, MH Köpf, MS Jolly, N Gavish, P Cvitanović, PG Gennes de, Pietro-Luciano Buono, R Seydel, R Wittkowski, RV Craster, S Allen, S Maier-Paape, S Maier-Paape, T Dohnal, Te-Sheng Lin, Tomáš Dohnal, U Thiele, U Thiele, U Thiele, U Thiele, Umberto Marini Bettolo Marconi, Uwe Thiele, VS Mitlin, W Saarloos van, XD Chen, Y Kuramoto, YA Kuznetsov, Yuval R. Zelnik, Zhen Mei, Ľubor Fraštia   +94 more
core   +1 more source

Pancreatic Islet Cell Crosstalk: Insight Into α‐/β‐Cell Compensatory Mechanisms

Comprehensive Physiology, Volume 16, Issue 3, June 2026.
α‐cell remodeling compensates for impaired β‐cell function. Intra‐islet glucagon/GLP‐1 signaling is upregulated and becomes essential in prediabetic islets. Flexible receptor engagement reflects functional plasticity in hormonal control of insulin secretion. Created in BioRender. Plecita, L. (2026); https://BioRender.com/pgjjg3m.
Štěpánka Benáková, Blanka Holendová, Jurij Dolenšek, Monika Křivonosková, Andraž Stožer, Lydie Plecitá‐Hlavatá   +5 more
wiley   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Some monotonicity results for general systems of nonlinear elliptic PDEs

, 2015
In this paper we show that minima and stable solutions of a general energy functional of the form $$ \int_{\Omega} F(\nabla u,\nabla v,u,v,x)dx $$ enjoy some monotonicity properties, under an assumption on the growth at infinity of the energy.
Brasseur, Julien, Dipierro, Serena
core   +3 more sources