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Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially-varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and…

Soft Condensed Matter · Physics 2023-06-22 Prerna Gera , David Salac , Saverio E. Spagnolie

We illustrate a concept for shape-changing microswimmers, which exploits the hysteresis of a shape transition of an elastic object, by an elastic disk undergoing cyclic localized swelling. Driving the control parameter of a hysteretic shape…

Soft Condensed Matter · Physics 2020-12-29 Christian Wischnewski , Jan Kierfeld

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

Analysis of PDEs · Mathematics 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

We describe the dynamics of three-dimensional fluid vesicles in steady shear flow in the vicinity of a wall. This is analyzed numerically at low Reynolds numbers using a boundary element method. The area-incompressible vesicle exhibits…

Soft Condensed Matter · Physics 2009-11-07 Sreejith Sukumaran , Udo Seifert

Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

The flow of two macroscopically immiscible, viscous, incompressible fluids with unmatched densities is studied, where a transfer of mass between the constituents by phase transition is taken into account. To this end, two…

Analysis of PDEs · Mathematics 2025-05-09 Helmut Abels , Harald Garcke , Julia Wittmann

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

Active fluid droplets are a class of soft materials exhibiting autonomous motion sustained by an energy supply. Such systems have been shown to capture motility regimes typical of biological cells and are ideal candidates as building-block…

Soft Condensed Matter · Physics 2023-03-01 A. Tiribocchi , M. Durve , M. Lauricella , A. Montessori , D. Marenduzzo , S. Succi

Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a…

Fluid Dynamics · Physics 2015-03-17 Birendra Jha , Luis Cueto-Felgueroso , Ruben Juanes

We develop an adversarial-reinforcement learning scheme for microswimmers in statistically homogeneous and isotropic turbulent fluid flows, in both two (2D) and three dimensions (3D). We show that this scheme allows microswimmers to find…

Fluid Dynamics · Physics 2021-05-10 Jaya Kumar Alageshan , Akhilesh Kumar Verma , Jérémie Bec , Rahul Pandit

Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is background flows. While the influence of select flows,…

Fluid Dynamics · Physics 2025-10-30 Eamonn A. Gaffney , Kenta Ishimoto , Benjamin J. Walker

The flow near a moving contact line is primarily governed by three key parameters: viscosity ratio, dynamic contact angle, and inertia. While the behavior of dynamic contact angles has been extensively studied in earlier experimental and…

Inspired by the classical Kepler and Rutherford problem, we investigate an analogous set-up in the context of active microswimmers: the behavior of a deformable microswimmer in a swirl flow. First we identify new steady bound states in the…

Soft Condensed Matter · Physics 2014-09-11 Mitsusuke Tarama , Andreas M. Menzel , Hartmut Löwen

Many microfluidics devices, coating processes or diphasic flows involve the motion of a liquid meniscus on a wet wall. This motion induces a specific viscous force, that exhibits a non-linear dependency in the meniscus velocity. We propose…

Soft Condensed Matter · Physics 2013-05-06 Isabelle Cantat

This work explores the lift force experienced by a particle moving in a viscous fluid near a liquid-liquid interface. The lift force is induced by the interaction between the viscous flow generated by the particle's motion and the…

Soft Condensed Matter · Physics 2026-02-17 Hao Zhang , Zaicheng Zhang , Abdelhamid Maali

This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole $\mathbb{R}^3$. The fluid is modelled by the incompressible nonhomogeneous…

Analysis of PDEs · Mathematics 2019-10-14 Sarka Necasova , Mythily Ramaswamy , Arnab Roy , Anja Schlomerkemper

We apply the geometric theory of swimming at low Reynolds number to the study of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall, or "odd", viscosity. The Hall viscosity gives an off-diagonal contribution to the…

Soft Condensed Matter · Physics 2014-05-07 Matthew F. Lapa , Taylor L. Hughes

Biological swimmers frequently navigate in geometrically restricted media. We study the prescribed-stroke problem of swimmers confined to a planar viscous membrane embedded in a bulk fluid of different viscosity. In their motion,…

Soft Condensed Matter · Physics 2021-02-24 Carlos Alas , Thomas R. Powers , Tatiana Kuriabova

Hydrodynamic interaction strongly influences the collective behavior of the microswimmers. With this work, we study the behavior of two hydrodynamically interacting self-propelled chiral swimmers in the low Reynolds number regime,…

Soft Condensed Matter · Physics 2022-11-28 Ruma Maity , P. S. Burada