Results 151 to 160 of about 1,726,318 (276)
Fracture and Calving Front Evolution: A Case Study of Fimbul Ice Shelf, Antarctica
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT This study combines historical records, satellite remote sensing data, and inverse modelling to investigate crack formation and calving front evolution of the Fimbul Ice Shelf, Antarctica. Historical maps from the 1950s, together with satellite imagery from 1970s–2026, are used to reconstruct calving‐front positions and track the evolution of ...
Angelika Humbert +9 more
wiley +1 more source
Existence of solutions for one-dimensional wave equations with nonlocal conditions
Electronic Journal of Differential Equations, 2001 In this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of
Sergei A. Beilin
doaj
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley +1 more source
On rational R-matrices with adjoint SU(n) symmetry
, 2016 Using the representation theory of Yangians we construct the rational R-matrix which takes values in the adjoint representation of SU(n). From this we derive an integrable SU(n) spin chain with lattice spins transforming under the adjoint representation.
Leur, Johan van de +5 more
core
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Inference in Bayesian inverse problems frequently relies on sampling‐based methods for exploring the posterior distribution. In this paper, we compare two such methods for Bayesian bathymetry reconstruction from water‐surface elevation measurements: Metropolis–Hastings Markov chain Monte Carlo (MH‐MCMC) and transitional Markov chain Monte ...
Lars Stietz +3 more
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Long‐time asymptotics of a full soliton gas for the Camassa–Holm equation
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate the long‐time asymptotics of a full soliton gas for the Camassa–Holm equation. The analysis starts from a pure‐soliton Riemann–Hilbert (RH) problem with 2N$2N$ poles and two distinct types of residue conditions. We prove that, as N→∞$N\rightarrow \infty$, this discrete RH problem converges to a limiting soliton gas RH problem ...
Dedi Yan, Xianguo Geng, Minxin Jia
wiley +1 more source
The mod 2 Seiberg–Witten invariants of spin structures and spin families
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley +1 more source
A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources. [PDF]
PhotoacousticsSegerlund M, Löfqvist T.
europepmc +1 more source