Results 51 to 60 of about 1,719 (178)
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
Noether's theorem on time scales
Journal of Mathematical Analysis and Applications, 2008 We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremals.
Bartosiewicz, Z., Torres, D.F.M.
openaire +4 more sources
Noether theorems and reality of motion [PDF]
The Fourteenth Marcel Grossmann Meeting, 2017 7 pages, some more typos corrected; presented 14th Marcel Grossmann Meeting, session History of Relativity and ...
Palese, M., Winterroth, E.
openaire +2 more sources
Conserved momenta of ferromagnetic solitons through the prism of differential geometry
SciPost Physics, 2021 The relation between symmetries and conservation laws for solitons in a ferromagnet is complicated by the presence of gyroscopic (precessional) forces, whose description in the Lagrangian framework involves a background gauge field.
Xingjian Di, Oleg Tchernyshyov
doaj +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
GOLDSTONE THEOREM AND JAHN-TELLER EFFECT [PDF]
, 1967 The Goldstone theorem requires that a many-body system with broken symmetry has an excitation branch, whose frequency tends to zero in the limit of infinite wavelength.
SARFATT, J, STONEHAM, AM
core
Extension the Noether's theorem to Lagrangian formulation with nonlocality
, 2012 A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C. +3 more
core +1 more source
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 +2 more
wiley +1 more source
A Noether theorem for Markov processes [PDF]
Journal of Mathematical Physics, 2013 Noether's theorem links the symmetries of a quantum system with its conserved quantities, and is a cornerstone of quantum mechanics. Here we prove a version of Noether's theorem for Markov processes. In quantum mechanics, an observable commutes with the Hamiltonian if and only if its expected value remains constant in time for every state.
Baez, John C, Fong, Brendan
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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 +1 more
openaire +3 more sources