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Steady fluid flows have very special topology. In this paper we describe necessary and sufficient conditions on the vorticity function of a 2D ideal flow on a surface with or without boundary, for which there exists a steady flow among…

Symplectic Geometry · Mathematics 2015-11-19 Anton Izosimov , Boris Khesin

Static spherically symmetric solutions to the Einstein-Euler equations with prescribed central densities are known to exist, be unique and smooth for reasonable equations of state. Some criteria are also available to decide whether…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Lars Andersson , Annegret Y. Burtscher

Symmetry breaking is essential for biological microswimmers to achieve locomotion in viscous environments. Such asymmetry in the swimming mechanism enables the generation of directional forces that overcome fluid resistance, leading to…

Fluid Dynamics · Physics 2025-12-29 Anupriya Dutta Roy , Smita S. Sontakke , Arvind Kumar , Ranabir Dey , Anupam Gupta

A longstanding goal in colloidal active matter is to understand how gradients in fuel concentration influence the motion of phoretic Janus particles. Here, we present a theoretical description of the motion of a spherical phoretic Janus…

Soft Condensed Matter · Physics 2025-05-28 Parvin Bayati , Stewart A. Mallory

We analyze the interaction between a self-diffusiophoretic spherical Janus motor and an inert spherical cargo particle in an axisymmetric configuration in the Stokes regime. To study the different configurations of the two spheres and their…

We use a one dimensional symmetric exclusion model to study pressure and osmosis driven flows through molecular-sized channels, such as biological membrane channels and zeolite pores. Analytic expressions are found for the steady-state flow…

Soft Condensed Matter · Physics 2008-02-03 Tom Chou

Active colloidal systems with non-equilibrium self-organization is a long-standing, challenging area in biology. To understand how hydrodynamic flow may be used to actively control self-assembly of Janus particles (JPs), we use a model…

Soft Condensed Matter · Physics 2022-08-09 Szu-Pei Fu , Rolf Ryham , Bryan Quaife , Y. -N. Young

Self-propelling particles or microswimmers have opened a new field of investigation with both fundamental and practical perspectives. They represent very convenient model objects for experimental studies of active matter, and have…

Soft Condensed Matter · Physics 2022-10-25 Tatiana V. Nizkaya , Evgeny S. Asmolov , Olga I. Vinogradova

We examine the motion of rigid, ellipsoidal swimmers subjected to a steady vortex flow in two dimensions. Numerical simulations of swimmers in a spatially periodic array of vortices reveal a range of possible behaviors, including trapping…

Chaotic Dynamics · Physics 2020-08-11 S. A. Berman , K. A. Mitchell

We present a novel computational framework for simulating suspensions of rigid spherical Janus particles in Stokes flow. We show that long-range Janus particle interactions for a wide array of applications may be resolved using fast,…

Fluid Dynamics · Physics 2021-04-30 Ryan Kohl , Eduardo Corona , Vani Cheruvu , Shravan Veerapaneni

The fabrication of synthetic self-propelled particles and the experimental investigations of their dynamics have stimulated interest in self-generated phoretic effects that propel nano- and micron-scale objects. Theoretical modeling of…

Soft Condensed Matter · Physics 2014-10-10 Pierre de Buyl , Raymond Kapral

In this paper, the steady inviscid flows with radial symmetry for the isothermal Euler system are studied in an annulus. We present a complete classification of transonic radially symmetric flow patterns in term of physical boundary…

Analysis of PDEs · Mathematics 2023-10-20 Na Zhang

Active (i.e., self-propelled or swimming) particles moving through an isotropic fluid exhibit conventional diffusive behavior. We report anomalous diffusion of an active particle moving in an anisotropic, nematic background. Whilst the…

Soft Condensed Matter · Physics 2016-06-22 John Toner , Hartmut Löwen , Henricus H. Wensink

We introduce a special stochastic perturbation of the flow of diffuse matter as a curve in the group of diffeomorphisms of flat n-dimensional torus such that the perturbed system yields a solution of Burgers equation in the tangent space at…

Analysis of PDEs · Mathematics 2009-08-07 Yuri E. Gliklikh

New free-swimming experiments and simulations are conducted on a pair of three-dimensional, bio-robotic swimmers composed of a body and tail section based on Yellowfin tuna, Thunnus albacares. It is discovered that the pair converges…

We experimentally investigate active motion of spherical Janus colloidal particles in a viscoelastic fluid. Self-propulsion is achieved by a local concentration gradient of a critical polymer mixture which is imposed by laser illumination.…

Soft Condensed Matter · Physics 2016-03-31 Juan Ruben Gomez-Solano , Alex Blokhuis , Clemens Bechinger

By studying the weak closure of multidimensional off-diagonal self-joinings we provide a criterion for non-isomorphism of a flow with its inverse, hence the non-reversibility of a flow. This is applied to special flows over rigid…

Dynamical Systems · Mathematics 2014-05-13 K. Fraczek , J. Kulaga , M. Lemanczyk

Recent experiments showed that standing acoustic waves could be exploited to induce self-propulsion of rigid metallic particles in the direction perpendicular to the acoustic wave. We propose in this paper a physical mechanism for these…

Fluid Dynamics · Physics 2014-10-29 Francois Nadal , Eric Lauga

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric…

Statistical Mechanics · Physics 2018-07-18 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

A well-developed method to induce mixing on microscopic scales is to exploit flows generated by steady streaming. Steady streaming is a classical fluid dynamics phenomenon whereby a time-periodic forcing in the bulk or along a boundary is…

Fluid Dynamics · Physics 2015-12-02 Tamsin A. Spelman , Eric Lauga