Results 71 to 80 of about 336,860 (179)

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

Chirogenesis in Supramolecular Systems on the Basis of Porphyrinoids

, 2018
Noether’s theorem provides a systematic method to obtain conservation laws (conserved [..
Victor Borovkov
core   +1 more source

Non-local conserved currents and continuous non-invertible symmetries

Journal of High Energy Physics
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro, Adar Sharon, Yunqin Zheng   +2 more
doaj   +1 more source

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

Open Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent, Khalique Chaudry Masood   +1 more
doaj   +1 more source

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

Gauge symmetries and Noether currents in optimal control [PDF]

, 2003
We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m.
Torres, D.F.M.
core   +1 more source

Do symmetries "explain" conservation principles? The modern converse Noether theorem vs pragmatism [PDF]

, 2020
Noether’s first theorem does not establish a one-way explanatory arrow from symmetries to conservation laws, but such an arrow is widely assumed in discussions of the theorem in the physics and philosophy literature.
Brown, Harvey R.
core  

Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation

AppliedMath
This paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multiplier, Noether’s ...
Chaudry Masood Khalique, Carel Olivier, Boikanyo Pretty Sebogodi   +2 more
doaj   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

Fractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
doaj   +1 more source

On the conservation of energy: Noether's theorem revisited

Heliyon
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
doaj   +1 more source