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Recovering spherical magnetizations $m$ from magnetic field data in the exterior is a highly non-unique problem. A spherical Hardy-Hodge decomposition supplies information on what contributions of the magnetization $m$ are recoverable but…

偏微分方程分析 · 数学 2016-08-04 Christian Gerhards

The time-varying geomagnetic field is a superposition of contributions from multiple internal and external current systems. A major source of geomagnetic variations at periods less than a few years are current systems external to the solid…

空间物理 · 物理学 2025-03-11 Jingtao Min , Alexander Grayver

We provide a space domain oriented separation of magnetic fields into parts generated by sources in the exterior and sources in the interior of a given sphere. The separation itself is well-known in geomagnetic modeling, usually in terms of…

数值分析 · 数学 2015-06-04 Christian Gerhards

Large scale solar magnetic field topology has a great influence on the structure of the corona, heliosphera and geomagnetic perturbations. Data obtained over the last three solar cycles have been analysed to reveal the relationships between…

太阳与恒星天体物理 · 物理学 2018-02-12 E. A. Gavryuseva

Given a function in the Hardy space of inner harmonic gradients on the sphere, H+(S), we consider the problem of finding a corresponding function in the Hardy space of outer harmonic gradients on the sphere, H-(S), such that the sum of both…

泛函分析 · 数学 2022-05-17 Christian Gerhards , Xinpeng Huang , Alexander Kegeles

Unveiling the intergalactic magnetic field (IGMF) in filaments of galaxies is a very important and challenging subject in modern astronomy. In order to probe the IGMF from rotation measures (RMs) of extragalactic radio sources, we need to…

宇宙学与河外天体物理 · 物理学 2015-06-18 Takuya Akahori , Kohei Kumazaki , Keitaro Takahashi , Dongsu Ryu

In Geomagnetism it is of interest to separate the Earth's core magnetic field from the crustal magnetic field. However, measurements by satellites can only sense the sum of the two contributions. In practice, the measured magnetic field is…

偏微分方程分析 · 数学 2017-08-01 Laurent Baratchart , Christian Gerhards

We propose an analytical model based on the solution of the magnetohydrodynamics (MHD) equations for studying the origin of intrinsic magnetospheres. For this purpose, we reveal a new gauge condition for the electromagnetic vector…

空间物理 · 物理学 2014-02-13 M. Mendoza , J. Morales

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

软凝聚态物质 · 物理学 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

Wide-band radio polarization observations offer the possibility to recover information about the magnetic fields in synchrotron sources, such as details of their three-dimensional configuration, that has previously been inaccessible. The…

宇宙学与河外天体物理 · 物理学 2015-06-18 Cathy Horellou , Andrew Fletcher

In a first approximation, the Earth's interior has an isotropic structure with a spherical symmetry. Over the last decades the geophysical observations have revealed, at different spatial scales, the existence of several perturbations from…

地球物理 · 物理学 2014-02-27 Calin Vamos , Nicolae Suciu

When modeling global satellite data to recover a planetary magnetic or gravitational potential field and evaluate it elsewhere, the method of choice remains their analysis in terms of spherical harmonics. When only regional data are…

地球物理 · 物理学 2017-10-11 Alain Plattner , Frederik J. Simons

We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two distinct metrics in…

偏微分方程分析 · 数学 2023-12-08 Joonas Ilmavirta , Maarten V. de Hoop , Vitaly Katsnelson

Data obtained over the last three solar cycles have been analysed to reveal the relationships between the intensity of the photospheric field measured along the line of sight by the WSO group at heliolatitudes from -75 to 75 degrees and the…

地球物理 · 物理学 2018-02-14 E. A. Gavryuseva

The magnetic field outside the earth is in good approximation a harmonic vector field determined by its values at the earth's surface. The direction problem seeks to determine harmonic vector fields vanishing at infinity and with prescribed…

偏微分方程分析 · 数学 2019-09-26 Ralf Kaiser , Tobias Ramming

How can scientists conclude with high confidence that an exoplanet hosts life? As telescopes come on line over the next 20 years that can directly observe photons from terrestrial exoplanets, this question will dictate the activities of…

The study of planets outside our solar system may lead to major advances in our understanding of the Earth, and provide insight into the universal set of rules by which planets form and evolve. To achieve these goals requires applying…

地球与行星天体物理 · 物理学 2021-08-20 Oliver Shorttle , Natalie Hinkel , Cayman Unterborn

This article reviews the emerging field of exo-geoscience, focusing on the geological and geophysical processes thought to influence the evolution and (eu)habitability of rocky exoplanets. We examine the possible roles of planetary…

地球与行星天体物理 · 物理学 2026-01-21 Tilman Spohn , Akli Roberge , M. J. Way , João C. Duarte , Francesca Miozzi , Philipp Baumeister , Paul Byrne , Charles Lineweaver

Magnetic fields on a range of scales play a large role in the ecosystems of galaxies, both in the galactic disk and in the extended layers of gas away from the plane. Observing magnetic field strength, structure and orientation is complex,…

星系天体物理 · 物理学 2015-05-27 Marijke Haverkorn , Volker Heesen
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