Results 51 to 60 of about 232 (162)

Max noether theorem for singular curves

manuscripta mathematica, 2023
Max Noether's Theorem asserts that if $ω$ is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve, then the natural morphisms $\text{Sym}^nH^0(ω)\to H^0(ω^n)$ are surjective for all $n\geq 1$. The result was extended for Gorenstein curves by many different authors in distinct ways.
Martins, Renato Vidal, Gagliardi, Edson Martins   +1 more
openaire   +3 more sources

Random Diophantine equations in the primes II

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Let d⩾2$d\geqslant 2$ and n⩾d$n\geqslant d$ with (d,n)∉{(2,2),(3,3)}$(d,n)\notin \lbrace (2,2),(3,3)\rbrace$. We consider homogeneous Diophantine equations of degree d$d$ in n+1$n+1$ variables and whether they have solutions in the primes.
Philippa Holdridge
wiley   +1 more source

On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics

Partial Differential Equations in Applied Mathematics, 2021
In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators
Karabo Plaatjie, Chaudry Masood Khalique
doaj   +1 more source

Reduction theorems for Noether’s problem [PDF]

Proceedings of the American Mathematical Society, 2009
Let K K be any field, and G
Kang, M.C., Plans, B.
openaire   +4 more sources

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory

Journal of High Energy Physics
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
doaj   +1 more source

Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

Fractal and Fractional, 2019
In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another solution.
Alireza Khalili Golmankhaneh, Cemil Tunç   +1 more
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

BV-BRST Noether theorem

Journal of High Energy Physics
The BRST Noether theorem, or “Noether’s 1.5 theorem”, asserts the triviality of the BRST Noether current. We provide two proofs of this theorem that are both valid without restriction on the structure of the gauge theory, extending thereby previous ...
Glenn Barnich, Laurent Baulieu, Marc Henneaux, Tom Wetzstein   +3 more
doaj   +1 more source