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In this paper, we study a nonlinear fluid-structure interaction problem driven by a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describing the flow of an incompressible, viscous fluid in a 2D…

Analysis of PDEs · Mathematics 2024-02-14 Krutika Tawri

We perform extensive simulations of a 2D LJ glass subjected to quasi-static shear deformation at T=0. We analyze the distribution of non-affine displacements in terms of contributions of plastic, irreversible events, and elastic, reversible…

Statistical Mechanics · Physics 2016-03-28 Anaël Lemaître , Christiane Caroli

Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective…

Soft Condensed Matter · Physics 2024-10-16 S. Dang , C. Blanch-Mercader , L. Berlyand

We study well-posedness and asymptotic dynamics of a coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and a classical (nonlinear) full von Karman shallow shell equations that accounts for both…

Analysis of PDEs · Mathematics 2011-12-30 Igor Chueshov , Iryna Ryzhkova

Odd viscoelasticity arises in parity-violating nonequilibrium materials, where it leads to unconventional mechanical responses and oscillatory relaxation even in overdamped systems. While many living and active chiral materials present…

Soft Condensed Matter · Physics 2026-05-26 Julius Kiln , Alexander Mietke

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function…

High Energy Physics - Theory · Physics 2019-04-09 Yoshimasa Hidaka , Shi Pu , Di-Lun Yang

Hall effect in high-mobility 2D mesoscopic samples with hydrodynamic electron transport is related to manifestation of non-dissipative Hall viscosity at classical magnetic fields. However, the latter can be obscured by the particular…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 A. A. Grigorev , A. N. Afanasiev

Chirality, or the breaking of mirror symmetry, appears across all scales in nature, from molecular conformations to the dynamics of bacterial collectives. Environments composed of such symmetry-breaking constituents can give rise to…

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at large distances. The motion of the fluid is modelled by the…

Analysis of PDEs · Mathematics 2024-06-04 Denis Bonheure , Matthieu Hillairet , Clara Patriarca , Gianmarco Sperone

We study the deformation of a two-dimensional viscous droplet in simple shear in the presence of odd viscosity. We derive an analytical solution for the droplet shape and surrounding flow field within the framework of odd Stokes flow,…

Soft Condensed Matter · Physics 2026-05-11 Thomas Appleford , Hugo França , Maziyar Jalaal

We study two models of overdamped self-propelled disks in two dimensions, with and without aligning interactions. Active mesoscale flows leading to chaotic advection emerge in both models in the homogeneous dense fluid away from dynamical…

Soft Condensed Matter · Physics 2024-06-07 Yann-Edwin Keta , Juliane Klamser , Robert L. Jack , Ludovic Berthier

We set up the construction of generic (d+2)-dimensional metrics corresponding to (d+1)-dimensional fluids, representing holographically the hydrodynamic regimes of the putative dual theories. We give general seed equilibrium metrics…

High Energy Physics - Theory · Physics 2015-02-04 Natalia Pinzani-Fokeeva , Marika Taylor

We consider the behaviour of a dielectric fluid-fluid interface in the presence of a strong electric field from a point charge and line charge, respectively, both statically and, in the latter case, dynamically. The fluid surface is…

Soft Condensed Matter · Physics 2012-11-08 Simen Å. Ellingsen , Iver Brevik

We consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary. The fluid motion is described by the incompressible Euler…

Analysis of PDEs · Mathematics 2019-04-15 Olivier Glass , Christophe Lacave , Alexandre Munnier , Franck Sueur

We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional setting. We first establish the existence of global finite…

Analysis of PDEs · Mathematics 2026-05-18 Lorenzo Brandolese , Adriana Valentina Busuioc , Dragos Iftimie , Cilon F. Perusato

We study odd viscosity in a holographic model of a Weyl semimetal. The model is characterised by a quantum phase transition from a topological semimetal to a trivial semimetal state. Since the model is axisymmetric in three spatial…

High Energy Physics - Theory · Physics 2016-08-24 Karl Landsteiner , Yan Liu , Ya-Wen Sun

We present variational and Hamiltonian formulations of incompressible fluid dynamics with free surface and nonvanishing odd viscosity. We show that within the variational principle the odd viscosity contribution corresponds to geometric…

Fluid Dynamics · Physics 2019-04-24 Alexander G. Abanov , Gustavo M. Monteiro

Inspired by recent experiments on graphene, we examine the non-dissipative viscoelastic response of anisotropic two-dimensional quantum systems. We pay particular attention to electron fluids with point group symmetries, and those with…

Mesoscale and Nanoscale Physics · Physics 2020-04-09 Pranav Rao , Barry Bradlyn

We construct the theory of dissipative hydrodynamics of uncharged fluids living on embedded space-time surfaces to first order in a derivative expansion in the case of codimension-1 surfaces (including fluid membranes) and the theory of…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas
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