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In the physically non viscous fluid dynamics, "shock capturing" methods adopt either an artificial viscosity contribution or an appropriate Riemann solver algorithm. These techniques are necessary to solve the strictly hyperbolic Euler…

Fluid Dynamics · Physics 2010-06-22 G. Lanzafame

Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional for image sequences that have a non-Euclidean, time varying…

Numerical Analysis · Mathematics 2014-10-02 Martin Bauer , Markus Grasmair , Clemens Kirisits

Studies on singular flows in which either the velocity fields or the vorticity fields change dramatically on small regions are of considerable interests in both the mathematical theory and applications. Important examples of such flows…

Analysis of PDEs · Mathematics 2007-05-23 Zhouping Xin

We investigate fermionic atoms subjected to an optical lattice and coupled to a high finesse optical cavity with photon losses. A transverse pump beam introduces a coupling between the atoms and the cavity field. We explore the steady state…

We investigate steady-state properties of a two-dimensional incoherent-pumped dissipative Bose-Hubbard model, which describes a photon square lattice. This incoherent pumping exhibits an important environment-induced higher-order…

Quantum Physics · Physics 2016-09-15 Yuanwei Zhang , Jingtao Fan , Gang Chen , Wu-Ming Liu

Flow of dissipative particles driven by peristaltic motion of a tube is numerically studied. A transition from slow unjammed flow to fast jammed flow is found through the observation of the mass flux if the minimum width of the peristaltic…

Soft Condensed Matter · Physics 2012-03-12 Naoki Yoshioka , Hisao Hayakawa

Realizing a sensitive photon-number-dependent phase shift on a light beam is required both in classical and quantum photonics. It may lead to new applications for classical and quantum photonics machine learning or pave the way for…

We study the two-photon scattering processes in a one-dimensional waveguide coupled to a two- or three-level giant atom, respectively. The accumulated phase shift between the two coupling points can be utilized to alter the scattering…

Quantum Physics · Physics 2023-11-30 Wenju Gu , He Huang , Zhen Yi , Lei Chen , Lihui Sun , Huatang Tan

We present a model of coupling between a point wise particle and a compressible inviscid fluid following the Euler equations. The interaction between the fluid and the particle is achieved through a drag force. It writes as the product of a…

Analysis of PDEs · Mathematics 2016-03-16 Nina Aguillon

In this paper we study the existence of traveling wave solutions for a free-boundary problem modeling the phase transition of a material where the heat is transported by both conduction and radiation. Specifically, we consider a…

Analysis of PDEs · Mathematics 2025-06-03 Elena Demattè , Juan J. L. Velázquez

We establish the equivalence of free piston and delta shock, for the one-space-dimensional pressureless compressible Euler equations. The delta shock appearing in the singular Riemann problem is exactly the piston that may move freely…

Analysis of PDEs · Mathematics 2022-05-18 Le Gao , Aifang Qu , Hairong Yuan

Optically induced ultrafast electronic excitations with sufficiently long lifetimes may cause strong effects on phase transitions like structural and nonmetal to metal ones. Examples are transitions diamond to graphite, graphite to…

Materials Science · Physics 2010-09-21 K. H. Bennemann

A deterministic photon-photon quantum-logic gate is a long-standing goal. Building such a gate becomes possible if a light pulse containing only one photon imprints a phase shift of $\pi$ onto another light field. Here we experimentally…

Quantum Physics · Physics 2016-05-10 Daniel Tiarks , Steffen Schmidt , Gerhard Rempe , Stephan Dürr

We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a 3-body problem in the complex plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on…

Exactly Solvable and Integrable Systems · Physics 2011-04-13 F. Calogero , D. Gomez-Ullate , P. M. Santini , M. Sommacal

We find explicit solutions of the Heisenberg equations of motion for a quadratic Hamiltonian, describing a generic model of variable media, in the case of multi-parameter squeezed input photon configuration. The corresponding probability…

Quantum Physics · Physics 2016-11-28 Sergey I. Kryuchkov , Erwin Suazo , Sergei K. Suslov

The dynamics of thin liquid films flowing over a spinning disc is studied through a combination of experiments and direct numerical simulations. We consider a comprehensive range of interfacial flow regimes from waveless through to…

Fluid Dynamics · Physics 2024-12-18 Jason Stafford , Nwachukwu Uzo , Enrico Piccoli , Camille Petit , Omar K. Matar

We introduce a description of the collective transverse dynamics of charged (proton) beams in the stability regime by suitable classical stochastic fluctuations. In this scheme, the collective beam dynamics is described by time--reversal…

Statistical Mechanics · Physics 2009-11-10 Nicola Cufaro Petroni , Salvatore De Martino , Silvio De Siena , Fabrizio Illuminati

The generalized method of characteristics is used to obtain rank-2 solutions of the classical equations of hydrodynamics in (3+1) dimensions describing the motion of a fluid medium in the presence of gravitational and Coriolis forces. We…

Mathematical Physics · Physics 2017-03-17 A. M. Grundland , V. Lamothe

We develop a numerical a framework to study phoretic particle dynamics in two dimensions. The particles are modeled as chemically active rigid circles, which can emit or absorb a solute into surrounding fluid. The interaction between…

Soft Condensed Matter · Physics 2025-12-16 Zhe Gou , Alexander Farutin , Chaouqi Misbah

We apply a modified mean-field density functional theory to determine the phase behavior of Stockmayer fluids in slitlike pores formed by two walls with identical substrate potentials. Based on the Carnahan-Starling equation of state, a…

Soft Condensed Matter · Physics 2015-05-13 I. Szalai , S. Dietrich
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