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'A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another' [1]. Here, we address this important literature gap and present the first theory…

Fluid Dynamics · Physics 2023-05-11 Jan Martin Nordbotten , Endre Joachim Lerheim Mossige

We present a rigorous proof establishing the mathematical equivalence between two independent criteria for the marginal stability of multi-fluid relativistic stars: the dynamical criterion based on the vanishing of the fundamental radial…

High Energy Astrophysical Phenomena · Physics 2025-12-02 Tian-Shun Chen , Xiao-Ding Zhou , Kilar Zhang

As soon as Lyman or Balmer lines overlap, the net absorption cross section rapidly approaches the value at the series limit. Independent of the difficult question of the relative contributions of line and continuous opacity, we can get a…

Astrophysics · Physics 2007-05-23 Charles R. Cowley

Liquid droplets hanging from solid surfaces are commonplace, but their physics is complex. Examples include dew or raindrops hanging onto wires or droplets accumulating onto a cover placed over warm food or windshields. In these scenarios,…

Soft Condensed Matter · Physics 2023-07-25 Muhammad Subkhi Sadullah , Yinfeng Xu , Sankara Arunachalam , Himanshu Mishra

In recent work, we have shown that fundamental quantities such as the total entropy production, the thermodynamic variables conjugate to the thermodynamic forces, and the Glansdorff-Prigogine's dissipative variable may be discretized at the…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Giorgio Sonnino

The problem of a quasi 1D {\it repulsive} BEC flow past through a nonlinear barrier is investigated. Two types of nonlinear barriers are considered, wide and short range ones. Steady state solutions for the BEC moving through a wide…

Quantum Gases · Physics 2015-06-03 F. Kh. Abdullaev , R. M. Galimzyanov , Kh. N. Ismatullaev

We investigate the dynamics of nanoscale droplets in the vicinity of chemical steps which separate parts of a substrate with different wettabilities. Due to long-ranged dispersion forces, nanodroplets positioned on one side of the step…

Soft Condensed Matter · Physics 2009-09-29 A. Moosavi , M. Rauscher , S. Dietrich

We report on new instabilities of the quasi-static equilibrium of water drops pinned by a hydrophobic inclined substrate. The contact line of a statically pinned drop exhibits three transitions of partial depinning: depinning of the…

Fluid Dynamics · Physics 2009-11-13 Viatcheslav V. Berejnov , Robert E. Thorne

We explore the potential of current and future liquid scintillator neutrino detectors of O (10) kt mass to localize a pre-supernova neutrino signal in the sky. In the hours preceding the core collapse of a nearby star (at distance D < 1…

High Energy Astrophysical Phenomena · Physics 2020-10-08 Mainak Mukhopadhyay , Cecilia Lunardini , F. X. Timmes , Kai Zuber

Recent progress in the measurement of relative distances to galaxies has been quite substantial, and catalogs of 3000 galaxies with distances are soon to become available. The peculiar {\it velocity} field (deviations from Hubble flow)…

Astrophysics · Physics 2016-08-30 Marc Davis , Adi Nusser

Thin fluid or elastic films and membranes are found in nature and technology, for instance, as confinements of living cells or in loudspeakers. When applying a net force, resulting flows in an unbounded two-dimensional incompressible…

Soft Condensed Matter · Physics 2022-11-29 Tyler Lutz , Sonja K. Richter , Andreas M. Menzel

Consider the steady neutron transport equation in 2D convex domains with in-flow boundary condition. In this paper, we establish the diffusive limit while the boundary layers are present. Our contribution relies on a delicate decomposition…

Analysis of PDEs · Mathematics 2020-01-08 Lei Wu

It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear theory of hydrodynamic stability is obtained only due by…

Fluid Dynamics · Physics 2025-06-06 Sergey G. Chefranov , Alexander G. Chefranov

A semi-microscopic self-consistent quantum approach developed recently to describe the inner crust structure of neutron stars within the Wigner-Seitz method with the explicit inclusion of neutron and proton pairing correlations is used for…

Nuclear Theory · Physics 2008-11-26 M. Baldo , E. E. Saperstein , S. V. Tokollonikov

We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in the absence of…

Numerical Analysis · Mathematics 2016-05-11 Herbert Egger , Thomas Kugler

A thorough numerical, theoretical and experimental investigation of the liquid atomization in a full cone pressure swirl nozzle is presented. The first part is devoted to the study of the inner flow. CAD and CFD software are used in order…

Fluid Dynamics · Physics 2010-08-17 Nicolas Rimbert , Guillaume Castanet

Despite the sphericity of the collapsing stellar core, the birth conditions of neutron stars can be highly non spherical due to a hydrodynamical instability of the shocked accretion flow. Here we report the first laboratory experiment of a…

High Energy Astrophysical Phenomena · Physics 2012-01-31 Thierry Foglizzo , Frédéric Masset , Jérôme Guilet , Gilles Durand

Recently, it was observed that water droplets suspended in a nematic liquid crystal form linear chains (Poulin et al., Science 275, 1770 (1997)). The chaining occurs, e.g., in a large nematic drop with homeotropic boundary conditions at all…

Soft Condensed Matter · Physics 2009-10-31 Holger Stark , Joachim Stelzer , Ralf Bernhard

There has been recently a lot of interest in the analysis of the Stein gradient descent method, a deterministic sampling algorithm. It is based on a particle system moving along the gradient flow of the Kullback-Leibler divergence towards…

Analysis of PDEs · Mathematics 2023-12-29 José A. Carrillo , Jakub Skrzeczkowski

With today's abundant streams of data, the only constant we can rely on is change. For stream classification algorithms, it is necessary to adapt to concept drift. This can be achieved by monitoring the model error, and triggering counter…

Machine Learning · Computer Science 2020-12-09 Lukas Fleckenstein , Sebastian Kauschke , Johannes Fürnkranz