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pro vyhledávání: '"A. Uhlmann"'
We consider disordered finite systems of subwavelength resonators where the disorder is in the spatial arrangement of the resonators and their material parameters are perturbed randomly. We elucidate the mechanism of wave localisation in such systems
Externí odkaz:
http://arxiv.org/abs/2412.13954
Publikováno v:
In S. Subramaniam and S. Balachandar, editors, Modelling approaches and computational methods for particle-laden turbulent flows, pages 147-184. Academic press, 2022
In the present chapter we focus on the fundamentals of non-grid-conforming numerical approaches to simulating particulate flows, implementation issues and grid convergence vs. available reference data. The main idea is to avoid adapting the mesh (and
Externí odkaz:
http://arxiv.org/abs/2412.07426
Autor:
Russell, Craig T., Burel, Jean-Marie, Athar, Awais, Li, Simon, Sarkans, Ugis, Swedlow, Jason, Brazma, Alvis, Hartley, Matthew, Uhlmann, Virginie
We introduce bia-binder (BioImage Archive Binder), an open-source, cloud-architectured, and web-based coding environment tailored to bioimage analysis that is freely accessible to all researchers. The service generates easy-to-use Jupyter Notebook co
Externí odkaz:
http://arxiv.org/abs/2411.12662
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Comment: 62 pages
Comment: 62 pages
Externí odkaz:
http://arxiv.org/abs/2411.09671
In this paper, we study the partial data inverse problem for nonlinear magnetic Schr\"odinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an arbitrary part of the boundary, determines the time-dependent linear c
Externí odkaz:
http://arxiv.org/abs/2411.06369
The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide for the first time the mathematical foundations of this transform.
Externí odkaz:
http://arxiv.org/abs/2410.17597
Autor:
Weiser, Paul, Langs, Georg, Bogner, Wolfgang, Motyka, Stanislav, Strasser, Bernhard, Golland, Polina, Singh, Nalini, Dietrich, Jorg, Uhlmann, Erik, Batchelor, Tracy, Cahill, Daniel, Hoffmann, Malte, Klauser, Antoine, Andronesi, Ovidiu C.
Introduction: Altered neurometabolism is an important pathological mechanism in many neurological diseases and brain cancer, which can be mapped non-invasively by Magnetic Resonance Spectroscopic Imaging (MRSI). Advanced MRSI using non-cartesian comp
Externí odkaz:
http://arxiv.org/abs/2409.18303
Autor:
Uhlmann, Gunther, Zhai, Jian
We prove that the Riemannian metric on a compact manifold of dimension $n\geq 3$ with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Dirichlet-to-Neumann map associated to the Laplace-Beltrami operator.
Externí odkaz:
http://arxiv.org/abs/2409.01583
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover
Externí odkaz:
http://arxiv.org/abs/2408.12759
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this paper is to introduce the notion of a generalised Brillouin zone by allow
Externí odkaz:
http://arxiv.org/abs/2408.05073