Results 101 to 110 of about 54,046 (227)

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

Nonlocal Mixed Systems With Neumann Boundary Conditions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12632-12643, September 2025.
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical ...
Rinaldo M. Colombo, Elena Rossi, Abraham Sylla   +2 more
wiley   +1 more source

Asymptotic Analysis of Stokes Flow Through a Filter

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12913-12934, September 2025.
ABSTRACT This paper investigates the Stokes flow through a thin porous layer composed of a rigid, thin, periodic, and closely packed array of parallel long rods with a noncircular, anisotropic cross‐section in the shape of a slot. This shape allows for the construction of a thicker permeable filter than what is known as the Brinkman critical size.
Georges Griso, Larysa Khilkova, Julia Orlik   +2 more
wiley   +1 more source

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

Numerical Methods for Partial Differential Equations, Volume 41, Issue 5, September 2025.
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp   +4 more
wiley   +1 more source

A Systematic Stability Analysis of Explicit Runge–Kutta Discontinuous Galerkin Methods for Maxwell'S Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 5, September 2025.
ABSTRACT In this article, we carry out a systematic stability analysis for the explicit Runge–Kutta scheme coupled with a discontinuous Galerkin discretization in space for solving the time‐dependent Maxwell's equations. Many so‐called RKDG methods have been developed and successfully solved Maxwell's equations.
Yunqing Huang, Jichun Li, Haoke Zhao
wiley   +1 more source

Complex non‐Markovian dynamics and the dual role of astrocytes in Alzheimer’s disease development and propagation

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
wiley   +1 more source

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan   +3 more
wiley   +1 more source

Variational Analysis, PDEs and Mathematical Economics Tribute to Antonino Maugeri [PDF]

, 2019
Michel Théra
openalex  

Quantum Computing in Industrial Internet of Things (IIoT) Forensics: Framework, Implications, Opportunities, and Future Directions

WIREs Forensic Science, Volume 7, Issue 3, September 2025.
Generic Quantum‐Safe IIoT Forensics Framework (QS‐IIoT‐F) ABSTRACT The continuous evolution of quantum computing has shown novel and transformative possibilities and critical implications for the Industrial Internet of Things (IIoT) forensic processes.
Victor R. Kebande
wiley   +1 more source