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We study an anisotropic, possibly non-homogeneous version of the evolution $p$-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive $L^1$ to…

Analysis of PDEs · Mathematics 2021-05-11 Filomena Feo , Juan Luis Vazquez , Bruno Volzone

We study homogeneous cosmological models featuring shift-symmetric scalar fields (or, superfluids) in relative motion. In the presence of anisotropy this universe generally features rotation, in the sense that the principal axes of…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-24 Jose Beltrán Jiménez , Federico Piazza , Javier Vecino

Fry (1996) showed that galaxy bias has the tendency to evolve towards unity, i.e. in the long run, the galaxy distribution tends to trace that of matter. Generalizing slightly Fry's reasoning, we show that his conclusion remains valid in…

Astrophysics · Physics 2008-11-26 Lam Hui , Kyle P. Parfrey

A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric states. Stability and evolution of symmetric solitons are studied…

Pattern Formation and Solitons · Physics 2009-11-07 Boris A. Malomed , Jianke Yang

We have calculated the equilibrium properties of a star in a circular, equatorial orbit about a Super-Massive Black Hole (SMBH), when the star fills and overflows its Roche lobe. The mass transfer time scale is anticipated to be long…

High Energy Astrophysical Phenomena · Physics 2018-09-25 Lixin Dai , Roger D. Blandford , Peter P. Eggleton

Massive quiescent galaxies at high redshift are significantly more compact than their present-day counterparts. We investigate the roles, in determining this evolution, of major and minor mergers, and of the accretion of diffuse envelopes…

Astrophysics of Galaxies · Physics 2025-05-07 Carlo Nipoti

Galaxies have clearly evolved since the universe was 1 Gyr old, but methods to trace and quantify this evolution are still in their infancy. In this paper I demonstrate that with the careful use of a `physical morphology' it is possible to…

Astrophysics · Physics 2009-10-31 Christopher J. Conselice

For axisymmetric evolution of isolated systems, we prove that there exists a gauge such that the total mass can be written as a positive definite integral on the spacelike hypersurfaces of the foliation and the integral is constant along…

General Relativity and Quantum Cosmology · Physics 2010-12-02 Sergio Dain

We consider an uniformly charged incompressible nuclear fluid bounded by a closed surface. It is shown that an evolution of an axisymmetric surface $\Gamma(\bbox{r},t)\equiv \sigma - \Sigma(z,t) = 0,\quad \bbox{r}=(\sigma,\phi,z)$ can be…

Nuclear Theory · Physics 2007-05-23 V. G. Kartavenko , K. A. Gridnev , W. Greiner

We study the effects of magnetic fields on the evolution of differentially rotating neutron stars, which can form in stellar core collapse or binary neutron star coalescence. Magnetic braking and the magnetorotational instability (MRI) both…

There are three major axes to describe the evolution of galaxies, namely, time (redshift), space (environment) and mass (stellar mass). In this article, one topic each will be presented along these axes. (1) Based on the Subaru wide-field…

Astrophysics · Physics 2007-05-23 Tadayuki Kodama , Richard Bower , Philip Best , Patrick Hall , Toru Yamada , Masayuki Tanaka

Observations suggest that the structural parameters of disk galaxies have not changed greatly since redshift 1. We examine whether these observations are consistent with a cosmology in which structures form hierarchically. We use SPH/N-body…

Astrophysics · Physics 2007-05-23 Hugo Martel , Chris Brook , Sean McGee , Brad Gibson , Daisuke Kawata

In order to recognize environmental effects on the evolution of dwarf galaxies in clusters of galaxies, it is first necessary to quantify the properties of objects which have evolved in relative isolation. With oxygen abundance as the gauge…

Correlations between stellar kinematics and chemical abundances are fossil evidence for evolutionary connections between Galactic structural components. Extensive stellar surveys show that the only tolerably clear distinction between…

Astrophysics · Physics 2009-10-22 Gerard Gilmore

We have constructed a large, uniform galaxy cluster catalog from the Sloan Digital Sky Survey data. By studying the morphology--cluster-centric-radius relation, we have found two characteristic environments where galaxy morphologies change…

Astrophysics · Physics 2007-05-23 Tomotsugu Goto

Angular momentum exchange is a driving process for the evolution of barred galaxies. Material at resonance in the bar region loses angular momentum which is taken by material at resonance in the outer disc and/or the halo. By losing angular…

Astrophysics · Physics 2015-06-24 E. Athanassoula

The standard method of modelling axisymmetric stellar systems begins from the assumption that mass follows light. The gravitational potential is then derived from the luminosity distribution, and a unique two-integral distribution function…

Astrophysics · Physics 2009-10-28 David Merritt

A framework for wave function collapse models that is symmetric under time reversal is presented. Within this framework there are equivalent pictures of collapsing wave functions evolving in both time directions. The backwards-in-time Born…

Quantum Physics · Physics 2015-02-26 Daniel Bedingham

The validity of Hubble's law defies the determination of the center of the big bang expansion, even if it exists. Every point in the expanding universe looks like the center from which the rest of the universe flies away. In this article,…

Astrophysics · Physics 2007-05-23 Yukio Tomozawa

Recent work has suggested that the amplitude of the size mass relation of massive early type galaxies evolves with redshift. Here we use a semi-analytical galaxy formation model to study the size evolution of massive early type galaxies. We…

Astrophysics of Galaxies · Physics 2014-12-22 Lizhi Xie , Qi Guo , Andrew P. Cooper , Carlos S. Frenk , Ran Li , Liang Gao