Results 21 to 30 of about 4,380,008 (160)

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]

, 2010
This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
core   +4 more sources

Admissible Reciprocally Symmetric Costs: Combiner Existence and Classification

Mathematics
We classify the continuous reciprocally symmetric cost functions J:(0,∞)→R with J(1)=0 and strictly convex log-substitution G(t):=J(et) (admissible costs) for which the symmetric compound J(xy)+J(x/y) depends on (x,y) only through (J(x),J(y)).
Sebastian Pardo-Guerra, Jonathan Washburn, Elshad Allahyarov   +2 more
doaj   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe, William M. Coombs, Wangcheng Zhang, Ravindra Duddu, Giuliano Pretti, Charles E. Augarde   +5 more
wiley   +1 more source

Counting Degrees of Freedom: A Method Applicable From Scalars to f(Q)$f(\mathbb {Q})$ Gravity and Beyond

Fortschritte der Physik, Volume 74, Issue 6, June 2026.
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley   +1 more source

A Variant of d’Alembert Functional Equation on Monoids

Bulletin of the Iranian Mathematical Society, 2021
A. Chahbi, E. Elqorachi
semanticscholar   +2 more sources

Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser

Advanced Science, Volume 13, Issue 28, 18 May 2026.
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu, Aswathy Sundaresan, Nazire‐Begüm Kazkal, Clement Lafargue, Lior Zarfaty, Li‐Gang Wang, Ofek Birnholtz, Dominique Decanini, Melanie Lebental, Patrick Sebbah   +9 more
wiley   +1 more source

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker   +5 more
wiley   +1 more source

Diagnostic oriented discrimination of different Shiga toxins via PCA‐assisted SERS‐based plasmonic metasurface

Nanophotonics, Volume 14, Issue 23, Page 4005-4018, 02 November 2025.
Abstract Plasmonic biosensors are powerful platforms for detecting various types of analytes. Specifically, surface‐enhanced Raman spectroscopy (SERS) can enable label‐free and selective detection. Shiga toxin‐producing Escherichia coli (STEC) represents zoonotic pathogens that cause severe diseases, such as hemolytic uremic syndrome (HUS), the most ...
Massimo Rippa, Alessia Milano, Valentina Marchesano, Domenico Sagnelli, Bryan Guilcapi, Amalia D'Avino, Giovanna Palermo, Giuseppe Strangi, Luciano Consagra, Maurizio Brigotti, Stefano Morabito, Joseph Zyss, Lucia Petti   +12 more
wiley   +1 more source

Alienation of the Jensen, Cauchy and d’Alembert equations [PDF]

, 2016
Let (S,+) be a commutative semigroup, σ: S→S be an endomorphism with σ2 = id and let K be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen equation and the exponential Cauchy equation, we study the ...
Sobek, Barbara
core   +1 more source