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Following pioneering work by Fan and Slemrod who studied the effect of artificial viscosity terms, we consider the system of conservation laws arising in liquid-vapor phase dynamics with {\sl physical} viscosity and capillarity effects…

Analysis of PDEs · Mathematics 2007-05-23 K. T. Joseph , Philippe G. LeFloch

Rayleigh-B\'{e}nard convection in horizontal layers of binary fluid mixtures heated from below with realistic horizontal boundary conditions is studied theoretically using multi-mode Galerkin expansions. For positive separation ratios the…

patt-sol · Physics 2017-05-17 B. Huke , M. Lücke , P. Büchel , Ch. Jung

Determining the bubble wall velocity in first-order phase transitions is a challenging task, requiring the solution of (coupled) equations of motion for the scalar field and Boltzmann equations for the particles in the plasma. The collision…

High Energy Physics - Phenomenology · Physics 2025-02-28 Wen-Yuan Ai , Benoit Laurent , Jorinde van de Vis

As a model for vortex-wall interactions, we consider the two-dimensional incompressible Navier--Stokes equations in the half-plane $R^2_+$ with no-slip boundary condition and point vortices as initial data. We focus on the paradigmatic…

Analysis of PDEs · Mathematics 2026-03-24 Anne-Laure Dalibard , Thierry Gallay

We draw an analogy between droplet formation in dilute particle and polymer systems. Our arguments are based on finite-size scaling results from studies of a two-dimensional lattice gas to three-dimensional bead-spring polymers. To set the…

Statistical Mechanics · Physics 2018-03-14 Wolfhard Janke , Johannes Zierenberg

The dynamics of phase separation in multi-component bilayer fluid vesicles is investigated by means of large-scale dissipative particle dynamics. The model explicitly accounts for solvent particles, thereby allowing for the very first…

Soft Condensed Matter · Physics 2009-11-10 Mohamed Laradji , P. B. Sunil Kumar

We reconsider some fundamental aspects of the fluid mechanics model, and the derivation of continuum flow equations from gas kinetic theory. Two topologies for fluid representation are presented, and a set of macroscopic equations are…

Fluid Dynamics · Physics 2007-05-23 S. Kokou Dadzie , Jason M. Reese , Colin R. McInnes

Density-wave fronts in a vibrofluidized wet granular layer undergoing a gas-liquid-like transition are investigated experimentally. The threshold of the instability is governed by the amplitude of the vertical vibrations. Fronts, which are…

Soft Condensed Matter · Physics 2017-05-09 Andreas Zippelius , Kai Huang

Motivated by the dynamics of microbubbles near catalytic surfaces in bubble-powered microrockets, we consider theoretically the growth of a free spherical bubble near a flat no-slip surface in a Stokes flow. The flow at the bubble surface…

Fluid Dynamics · Physics 2018-12-05 Sebastien Michelin , Giacomo Gallino , Francois Gallaire , Eric Lauga

In many environmental and industrial applications, the mass transfer of gases in liquid solvents is a fundamental process during the generation of bubbles for specific purposes or, vice versa, the removal of entrapped bubbles. We address…

Fluid Dynamics · Physics 2021-12-09 Daniël P Faasen , Devaraj van der Meer , Detlef Lohse , Pablo Peñas

We investigate the inelastic hard disk gas sheared by two parallel bumpy walls (Couette-flow). In our molecular dynamic simulations we found a sensitivity to the asymmetries of the initial condition of the particle places and velocities and…

Soft Condensed Matter · Physics 2009-10-31 M. Sasvari , J. Kertesz , D. E. Wolf

As a promising probe for the new physics beyond the standard model of particle physics in the early Universe, the predictions for the stochastic gravitational wave background from a cosmological first-order phase transition heavily rely on…

High Energy Physics - Phenomenology · Physics 2023-01-31 Shao-Jiang Wang , Zi-Yan Yuwen

We review some recent results concerning the evolution of a vortex filament and its relation to the cubic non-linear Schr\"odinger equation. Selfsimilar solutions and questions related to their stability are studied.

Analysis of PDEs · Mathematics 2011-03-28 Valeria Banica , Luis Vega

We present a new method to estimate terminal bubble velocities during first-order phase transitions in a plasma in local equilibrium. The method relies on calculating the extrema of a modified potential function for the scalar field…

High Energy Physics - Phenomenology · Physics 2025-12-01 Martin Münzenberg , Carlos Tamarit

We present an anomalous experimental observation on the rising speed of air bubbles in a Hele-Shaw cell containing a suspension of spherical, neutrally-buoyant, non-Brownian particles. Strikingly, bubbles rise faster in suspensions as…

Fluid Dynamics · Physics 2020-09-08 Christopher Madec , Brivaël Collin , J. John Soundar Jerome , Sylvain Joubaud

We construct a new finite difference method for the flow of ideal viscous isentropic gas in one spatial dimension. For the continuity equation, the method is a standard upwind discretization. For the momentum equation, the method is an…

Numerical Analysis · Mathematics 2013-03-13 Trygve K. Karper

Our work is motivated by the analysis of ash plume dynamics, arising in the study of volcanic eruptions. Such phenomena are characterized by large Reynolds number (exceeding $10^7$) and a large number of polydispersed particles~[1]. Thus,…

We present similarity solutions for mass-loaded adiabatic bubbles that are blown by winds having time dependent mechanical luminosities. We consider mass-loading through conductive evaporation of clumps. In the limit of little mass loading…

Astrophysics · Physics 2009-10-31 J. M. Pittard , J. E. Dyson , T. W. Hartquist

A numerical fluid simulation investigation of the temporal evolution of a special class of traveling wave solution of the one dimensional relativistic cold plasma model is reported.The solutions consist of coupled electromagnetic and plasma…

Plasma Physics · Physics 2009-11-11 Vikrant Saxena , Amita Das , Abhijit Sen , Predhiman Kaw

Bubble growth, departure and sliding in low-pressure flow boiling has received considerable attention in the past. However, most applications of boiling heat transfer rely on high-pressure flow boiling, for which very little is known, as…

Fluid Dynamics · Physics 2024-05-29 Artyom Kossolapov , Matthew T. Hughes , Bren Phillips , Matteo Bucci
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