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In this note, we consider an evolution coercive Hamilton-Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison principle in the case where the time and the (normal) gradient…

Analysis of PDEs · Mathematics 2023-10-23 Nicolas Forcadel , Cyril Imbert , Regis Monneau

A fully quantitative description of equilibrium and dynamical properties of hot nuclear matter will be needed for the interpretation of the available and forthcoming astrophysical data, providing information on the post merger phase of a…

Nuclear Theory · Physics 2023-06-05 Omar Benhar , Alessandro Lovato , Lucas Tonetto

The atmosphere of a hot jupiter may be subject to a thermo-resistive instability, in which the increasing electrical conductivity with temperature leads to runaway Ohmic heating. We introduce a simplified model of the local dynamics in the…

Earth and Planetary Astrophysics · Physics 2022-12-07 Raphaël Hardy , Andrew Cumming , Paul Charbonneau

We investigate the linear theory of Kelvin-Helmholtz instability at the interface between a partially ionized dusty outflow and the ambient material analytically. We model the interaction as a multifluid system in a planar geometry. The…

Astrophysics · Physics 2009-11-13 Mohsen Shadmehri , Turlough P. Downes

Viscoelastic rate-type fluid models constitute a fundamental framework for the mathematical description of complex materials exhibiting coupled elastic and viscous effects, with a wide range of applications in engineering, biomaterials, and…

Analysis of PDEs · Mathematics 2026-05-01 Miroslav Bulíček , Tomáš Los , Jakub Woźnicki

Based on the rotating turbulent thermal convection model and using the rotating equivalent temperature assumption and new convection criterion, this paper analyzed the repression of the vorticity gradient on the heat transport and explained…

Solar and Stellar Astrophysics · Physics 2022-12-08 Haibin Chen , Rong Wu

We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dynamically correlated during the structural relaxation of…

Based on a rigorous thermodynamic framework, this work develops a two-fluid magnetohydrodynamic model grounded in the Helmholtz free energy formalism. The model maintains full thermodynamic consistency by simultaneously satisfying energy…

Plasma Physics · Physics 2025-11-07 Ting Xiao , Qiaolin He

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

Hot spots in tumors are regions of high vascular density in the center of the tumor and their analysis is an important diagnostic tool in cancer treatment. We present a model for vascular remodeling in tumors predicting that the formation…

Tissues and Organs · Quantitative Biology 2008-01-07 Michael Welter , Katalin Bartha , Heiko Rieger

At temperatures well below their glass transition, the deformation properties of bulk metallic glasses are characterised by a sharp transition from elasticity to plasticity, a reproducible yield stress, and an approximately linear decrease…

Soft Condensed Matter · Physics 2013-11-18 P. M. Derlet , R. Maaß

We study the dynamics of visco-elastic materials coupled by a common cohesive interface (or, equivalently, {two single domains separated by} a prescribed cohesive crack) in the anti-plane setting. We consider a general class of…

Analysis of PDEs · Mathematics 2020-07-17 Matteo Negri , Riccardo Scala

The classical evolution equations of the Abelian Higgs model are studied at temperatures below the Ginsburg temperature of a phase transition which is assumed to be second order. It is shown that the initial thermal fluctuations provide a…

High Energy Physics - Phenomenology · Physics 2010-11-01 Robert H. Brandenberger , Anne-Christine Davis

Consider at a finite temperature $T$ a superfluid moving with a velocity $v$ relative to the thermal bath or its normal component. From Landau's argument there exists a critical $v_c (T)$ beyond which excitations can be spontaneously…

High Energy Physics - Theory · Physics 2025-07-17 Shanquan Lan , Hong Liu , Yu Tian , Hongbao Zhang

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

Statistical Mechanics · Physics 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

We derive a thermodynamically consistent model, which describes the time evolution of a two-phase flow in an evolving domain. The movement of the free boundary of the domain is driven by the velocity field of the mixture in the bulk, which…

Analysis of PDEs · Mathematics 2026-04-29 Patrik Knopf , Yadong Liu

By means of path integral- Monte Carlo, we study the finite-temperature behavior of the extended Bose-Hubbard model with cavity-mediated long-range interactions at unit filling. At zero temperature, the system supports superfluid,…

Quantum Gases · Physics 2026-03-10 Wei-Wei Wang , Jin Yang , Barbara Capogrosso-Sansone , Jian-Ping Lv , Chao Zhang

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

Transport coefficients in highly ionised plasmas like the intra-cluster medium (ICM) are still ill-constrained. They influence various processes, among them the mixing at shear flow interfaces due to the Kelvin-Helmholtz instability (KHI).…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 E. Roediger , R. P. Kraft , P. Nulsen , E. Churazov , W. Forman , M. Brueggen , R. Kokotanekova

We investigate the time-evolution of elastoplastic materials reinforced by randomly distributed long-range interactions. Starting from a rate-independent system on a discrete spring lattice that combines local linearized elasticity,…

Analysis of PDEs · Mathematics 2025-09-15 Simone Hermann
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