Results 121 to 130 of about 1,246 (190)

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

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]

Sci Rep
Zainab A, Saad KM, Abbas M, Hamanah WM, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source

AI in chemical engineering: From promise to practice

AIChE Journal, Volume 72, Issue 7, July 2026.
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew, Ronnie Andersson, Thomas Bierweiler, Patrik Ryttestal, Torsten Wik   +4 more
wiley   +1 more source

Mathematical modelling of ion diffusion and state of charge prediction in sodium ion batteries with time series analysis. [PDF]

Sci Rep
S S, Srivastava N, Hristov J.
europepmc   +1 more source

Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature

Communications on Pure and Applied Mathematics, Volume 79, Issue 7, Page 1746-1770, July 2026.
ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
wiley   +1 more source

Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]

Sci Rep
Zhou P, Manafian J, Lakestani M, Ilhan OA, Bahador NJ, Fattah AA, Mahmoud KH, Nuray R, Nagiyeva N.   +8 more
europepmc   +1 more source

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

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
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

Generative discovery of partial differential equations by learning from math handbooks. [PDF]

Nat Commun
Xu H, Chen Y, Cao R, Tang T, Du M, Li J, Callaghan AH, Zhang D.   +7 more
europepmc   +1 more source

Multi‐Targeting Ligands as Prospective Therapeutics for Alzheimer's Disease, a Prevalent Neurodegenerative Disorder: Mechanistic Insights, Emerging Targets and Drug Discovery Campaigns

Medicinal Research Reviews, Volume 46, Issue 4, Page 1173-1229, July 2026.
ABSTRACT Alzheimer's disease (AD) is a debilitating neurodegenerative condition characterized by progressive cognitive impairment, memory deterioration, and neuronal dysfunction. Its complex pathophysiology involves multiple interlinked processes, including amyloid‐β (Aβ) aggregation, tau hyperphosphorylation, oxidative stress, neuroinflammation ...
Amandeep Thakur, Mandeep Rana, Sakshi Vanjani, Kei‐Chi Liou, Rajeev Taliyan, Kunal Nepali, Chih‐Hao Yang   +6 more
wiley   +1 more source