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This paper resolves the global regularity problem for the three-dimensional incompressible magnetohydrodynamics (MHD) equations in the upper half-space with slip boundary conditions, in the presence of a background magnetic field. Motivated…

Analysis of PDEs · Mathematics 2025-08-14 Jincheng Gao , Lianyun Peng , Jiahong Wu , Zheng-an Yao

Vertical decomposition is a widely used general technique for decomposing the cells of arrangements of semi-algebraic sets in ${{\mathbb R}}^d$ into constant-complexity subcells. In this paper, we settle in the affirmative a few…

Computational Geometry · Computer Science 2026-05-12 Pankaj K. Agarwal , Esther Ezra , Micha Sharir

The availability of large datasets with stellar distance and polarization information will enable a tomographic reconstruction of the (plane-of-the-sky-projected) interstellar magnetic field in the near future. We demonstrate the…

The nature of the magnetic field structure throughout the Galactic Center (GC) has long been of interest. The recent Far-InfraREd Polarimetric Large-Area CMZ Exploration (FIREPLACE) Survey reveals preliminary connections between the…

Measuring the strength of three dimensional (3D) magnetic field vector is challenging as it is not easy to recognize whether its line-of-sight (LOS) and plane-of-sky (POS) components are obtained from the same region. CN ($N = 1 - 0$)…

Astrophysics of Galaxies · Physics 2024-10-07 Jihye Hwang , Chang Won Lee , Jongsoo Kim , Eun Jung Chung , Kee-Tae Kim

We employ synthetic observations obtained with MHD simulations to study how to trace the distribution of turbulent magnetic fields using the synchrotron polarization gradient techniques suggested by Lazarian \& Yuen (2018). Both synchrotron…

High Energy Astrophysical Phenomena · Physics 2019-05-15 Jian-Fu Zhang , Alex Lazarian , Ka Wai Ho , Ka Ho Yuen , Bo Yang , Yue Hu

Magnetic sensing platform techniques have been used in many years in an attempt to better evaluate the likelihood of recoverable hydrocarbon reservoirs by determining the depth and pattern of sedimentary rock formations containing magnetic…

Geophysics · Physics 2021-10-19 Huan Liu , Haobin Dong , Jian Ge , Zheng Liu

Magnetic fields are widely observed in various astronomical contexts, yet much remains unknown about their significance across different systems and cosmic epochs. Our current knowledge of the evolution of magnetic fields is limited by…

Astrophysics of Galaxies · Physics 2024-12-04 Jianhang Chen , Enrique Lopez-Rodriguez , R. J. Ivison , James E. Geach , Simon Dye , Xiaohui Liu , George Bendo

Cosmic microwave background (CMB) experiments that constrain the tensor-to-scalar ratio $r$ are now approaching the sensitivity at which delensing---removing the $B$ modes induced by the gravitational lensing of large-scale structure---is…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-23 Kirit S. Karkare

Numerical methods for solving the ideal magnetohydrodynamic (MHD) equations in more than one space dimension must either confront the challenge of controlling errors in the discrete divergence of the magnetic field, or else be faced with…

Numerical Analysis · Mathematics 2015-05-19 Christiane Helzel , James A. Rossmanith , Bertram Taetz

State-of-the-art 3D computer vision algorithms continue to advance in handling sparse, unordered image sets. Recently developed foundational models for 3D reconstruction, such as Dense and Unconstrained Stereo 3D Reconstruction (DUSt3R),…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Xinyi Wu , Steven Landgraf , Markus Ulrich , Rongjun Qin

In this era of precision cosmology, a detailed physical understanding on the evolution of cosmic baryons is required. Cosmic magnetic fields, though still poorly understood, may represent an important component in the global cosmic energy…

Astrophysics · Physics 2015-06-24 Shengtai Li , Hui Li , Renyue Cen

Context. Polarized dust emission can be used as a probe for magnetic fields at different scales. In particular, the analysis of the relative orientation between the density structures and the magnetic field projected on the plane of the sky…

Astrophysics of Galaxies · Physics 2021-03-24 Elisabetta R. Micelotta , Mika Juvela , Paolo Padoan , Isabelle Ristorcelli , Dana Alina , Johanna Malinen

We derive the coarse-graining (CG) equations of incompressible Hall Magnetohydrodynamics (HMHD) turbulence to investigate the {\it local (in space)} energy cascade rate as a function of the filtering scale $\ell$. First, the CG equations…

Plasma Physics · Physics 2022-09-21 Davide Manzini , Fouad Sahraoui , Francesco Califano , Renaud Ferrand

We compare two rotationally invariant decomposition techniques on linear polarisation data: the spin-2 spherical harmonic decomposition in two opposite parities, the $E$- and $B$-mode, and the multiscale analysis of the gradient of linear…

Structures seen in idealized numerical experiments on compressible magnetoconvection in an imposed strong vertical magnetic field show important differences from those detected in observations or realistic numerical simulations of sunspot…

Solar and Stellar Astrophysics · Physics 2016-03-08 C. Tian , K. Petrovay

This work presents a high-order isogeometric formulation for magnetoquasistatic eddy-current problems based on a decomposition into Biot-Savart-driven source fields and finite-element reaction fields. Building upon a recently proposed…

Numerical Analysis · Mathematics 2026-02-27 Merle Backmeyer , Laura A. M. D'Angelo , Brahim Ramdane , Sebastian Schöps

A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physics calculations where the throughput is bound by memory…

Computational Engineering, Finance, and Science · Computer Science 2020-06-25 Will Trojak , Freddie Witherden

The Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way is a star formation (SF) environment with very extreme physical properties. Exploration of SF in this region is important because (i) this region allows us to test…

Astrophysics of Galaxies · Physics 2017-07-12 Jens Kauffmann , Thushara Pillai , Qizhou Zhang , Karl M. Menten , Paul F. Goldsmith , Xing Lu , Andrés E. Guzmán

Understanding the mechanisms behind high-$T_{c}$ Type-II superconductors (SC) is still an open task in condensed matter physics. One way to gain further insight into the microscopic mechanisms leading to superconductivity is to study the…