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This paper is concerned with the mathematical analysis of time-dependent fluid-solid interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above a local rough surface. We reformulate the unbounded…

Analysis of PDEs · Mathematics 2018-07-25 Changkun Wei , Jiaqing Yang

Active propulsion, as performed by bacteria and Janus particles, in combination with hydrodynamic interaction results in the accumulation of bacteria at a flat wall. However, in microfluidic devices with cylindrical pillars of sufficiently…

Biological Physics · Physics 2024-04-15 Theresa Jakuszeit , Ottavio A. Croze

We investigate the effects of heterogeneous (spatially varying) activity in a hydrodynamical model for dense bacterial suspensions, confining ourselves to experimentally realizable, simple, quenched, activity patterns. We show that the…

Soft Condensed Matter · Physics 2026-05-12 Siddhartha Mukherjee , Kunal Kumar , Samriddhi Sankar Ray

The dynamics of a shock wave impinging on a transitional high-enthalpy boundary layer out of thermochemical equilibrium is investigated for the first time by means of a direct numerical simulation. The freestream Mach number is equal to 9…

Fluid Dynamics · Physics 2022-12-15 Donatella Passiatore , Luca Sciacovelli , Paola Cinnella , Giuseppe Pascazio

We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape in this direction (the soft wall). We prove that a spectral…

Mathematical Physics · Physics 2025-05-20 Camilo Gómez Araya , David Gontier , Hanne Van Den Bosch

Turbulence is most commonly associated with high Reynolds number flow, however the framework of turbulent dynamics has been conceptually extended to many other fields, such as magnetohydrodynamic turbulence, elastic wave turbulence in…

Soft Condensed Matter · Physics 2026-03-05 Wilhelm Sunde Lie , Ingve Simonsen , Paul Gunnar Dommersnes

We study numerically transitional coherent structures in a boundary-layer flow with homogeneous suction at the wall (the so-called asymptotic suction boundary layer ASBL). The dynamics restricted to the laminar-turbulent separatrix is…

In this paper, thermal-slip coefficients in slip boundary conditions of the Stokes equation are derived using the generalized slip-flow theory, with special interest in the role of near-wall potential in micro- and nanoscale flows. As the…

Fluid Dynamics · Physics 2025-10-20 Tetsuro Tsuji , Koichiro Takita , Satoshi Taguchi

We study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities. Using a perturbative approach, we examine the flow of a Newtonian fluid far from a surface described by a heterogeneous Navier slip…

Fluid Dynamics · Physics 2007-12-21 S. C. Hendy , N. J. Lund

We discuss the dynamics of a bilayer membrane with partial slip boundary conditions between the monolayers and the bulk fluid. Using Onsager's variational principle to account for the associated dissipations, we derive the coupled dynamic…

Soft Condensed Matter · Physics 2018-07-18 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura , Jean-Baptiste Fournier

Both Newtonian and non-Newtonian fluids may exhibit complex slip behaviour at the boundary. We examine a broad class of slip boundary conditions that generalises the commonly used Navier slip, perfect slip, stick-slip and Tresca friction…

Numerical Analysis · Mathematics 2025-02-14 Pablo Alexei Gazca-Orozco , Franz Gmeineder , Erika Maringová Kokavcová , Tabea Tscherpel

A system of fluid-dynamic-type equations and their boundary conditions derived from a system of the Boltzmann equation is of great importance in kinetic theory when we are concerned with the motion of a slightly rarefied gas. It offers an…

Fluid Dynamics · Physics 2022-11-04 Satoshi Taguchi , Tetsuro Tsuji

A thin-walled tube, e.g., a drinking straw, manifests an instability when bent by localizing the curvature change in a small region. This instability has been extensively studied since the seminal work of Brazier nearly a century ago.…

Soft Condensed Matter · Physics 2022-02-03 Luyi Qiu , John W. Hutchinson , Ariel Amir

A comprehensive review of current analytical models, experimental techniques, and influencing factors is carried out to highlight the current challenges in this area. The study of fluid-solid boundary conditions has been ongoing for more…

Soft Condensed Matter · Physics 2017-05-09 Jian-Jun Shu , Ji Bin Melvin Teo , Weng Kong Chan

In the present paper, we define the sheath by a monotone stationary solution to the nonisentropic Euler-Poisson system under a condition known as the Bohm criterion and consider a situation in which charged particles accumulate on the…

Analysis of PDEs · Mathematics 2024-06-18 Haiyan Yin , Rong Zeng , Mengmeng Zhu

This paper studies the boundary value problem on the steady compressible Navier-Stokes-Fourier system in a channel domain $(0,1)\times\mathbb{T}^2$ with a class of generalized slip boundary conditions that were systematically derived from…

Analysis of PDEs · Mathematics 2024-09-19 Renjun Duan , Junhao Zhang

The conventional boundary conditions at the interface between two flowing liquids include continuity of the tangential velocity. We have tested this assumption with molecular dynamics simulations of Couette and Poiseuille flows of…

Soft Condensed Matter · Physics 2009-11-11 Joel Koplik , Jayanth R. Banavar

Self-sustained turbulent structures have been observed in a wide range of living fluids, yet no quantitative theory exists to explain their properties. We report experiments on active turbulence in highly concentrated 3D suspensions of…

We experimentally study the emergence of collective bacterial swimming, a phenomenon often referred to as bacterial turbulence. A phase diagram of the flow of 3D E. coli suspensions spanned by bacterial concentration, the swimming speed of…

Soft Condensed Matter · Physics 2021-03-09 Yi Peng , Zhengyang Liu , Xiang Cheng

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

Soft Condensed Matter · Physics 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi