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We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

From hydrogels and plastics to liquid crystals, soft solids cover a wide array of synthetic and biological materials that play key enabling roles in advanced technologies such as 3D printing, soft robotics, wearable electronics,…

Soft Condensed Matter · Physics 2022-11-15 Surjyasish Mitra , Quoc Vo , Marcus Lin , Tuan Tran

The sliding of non-Newtonian drops down planar surfaces results in a complex, entangled balance between interfacial forces and non linear viscous dissipation, which has been scarcely inspected. In particular, a detailed understanding of the…

Soft Condensed Matter · Physics 2017-03-31 Silvia Varagnolo , Daniele Filippi , Giampaolo Mistura , Matteo Pierno , Mauro Sbragaglia

We study a 1D semilinear wave equation modeling the dynamic of an elastic string interacting with a rigid substrate through an adhesive layer. The constitutive law of the adhesive material is assumed elastic up to a finite critical state,…

Analysis of PDEs · Mathematics 2016-03-25 Giuseppe Maria Coclite , Giuseppe Florio , Marilena Ligabo' , Francesco Maddalena

Topographical and diffuse interface reconfigurations occur with a change in the solidification rate. In this article we pursue the hypothesis that the interface configuration during solidification is determined by the rate of entropy…

Materials Science · Physics 2017-02-14 Yaw Delali Bensah , J. A. Sekhar

Numerous laboratory experiments have demonstrated the dependence of the friction coefficient on the interfacial slip rate and the contact history, a behavior generically called rate and state friction. Although numerical models have been…

Geophysics · Physics 2020-06-24 Roozbeh Rezakhani , Fabian Barras , Michael Brun , Jean-Francois Molinari

Linear stability analysis is applied to the mean flow of an oscillating round jet with the aim to investigate the robustness and accuracy of mean flow stability wave models. The jet's axisymmetric mode is excited at the nozzle lip through a…

Fluid Dynamics · Physics 2015-06-22 Kilian Oberleithner , Lothar Rukes , Julio Soria

We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Yong Xu , Lijing Zhao

We investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression,…

Materials Science · Physics 2008-10-24 Pierre-Emmanuel Peyneau , Jean-Noël Roux

We have devised an original laboratory experiment where we investigate the frictional behaviour of a single crystal salt slider over a large number of deformation cycles. Because of its physical properties, salt, a surrogate for natural…

Materials Science · Physics 2015-06-25 Christophe Voisin , Francois Renard , Jean-Robert Grasso

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram, we classify the one-dimensional steady-state solutions that…

Fluid Dynamics · Physics 2021-11-16 Weifan Liu , Thomas P. Witelski

We consider a sharp interface kinetic model of phase transitions accompanied by elastic strain, together with its phase-field realization. Quantitative results for the steady-state growth of a new phase in a strip geometry are obtained and…

Materials Science · Physics 2015-06-25 Efim A. Brener , V. I. Marchenko , R. Spatschek

We investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

Static equilibrium configurations of continua supported by surface tension are given by constant mean curvature (CMC) surfaces which are critical points of a variational problem to extremize the area while keeping the volume fixed. CMC…

Mathematical Physics · Physics 2023-12-05 Miyuki Koiso , Umpei Miyamoto

Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low…

Fluid Dynamics · Physics 2018-02-07 Hangjie Ji , Thomas P. Witelski

Two-dimensional free-surface flow over localised topography is examined with the emphasis on the stability of hydraulic-fall solutions. A Gaussian topography profile is assumed with a positive or negative amplitude modelling a bump or a…

Fluid Dynamics · Physics 2024-03-12 Jack S. Keeler , Mark G. Blyth

We show numerically that the response of simple amorphous solids (elastic networks and particle packings) to a local force dipole is characterized by a lengthscale $\ell_c$ that diverges as unjamming is approached as $\ell_c \sim (z -…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Eric DeGiuli , Gustavo Düring , Matthieu Wyart

A suspended fluid film with two free surfaces convects when a sufficiently large voltage is applied across it. We present a linear stability analysis for this system. The forces driving convection are due to the interaction of the applied…

patt-sol · Physics 2009-10-30 Zahir A. Daya , Stephen W. Morris , John R. de Bruyn

We analyze both numerically and experimentally the stability of the steady jetting tip streaming produced by focusing a liquid stream with another liquid current when they coflow through the orifice of an axisymmetric nozzle. We calculate…

Fluid Dynamics · Physics 2021-02-03 M. G. Cabezas , N. Rebollo-Muñoz , M. Rubio , M. A. Herrada , J. M. Montanero
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