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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 67
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 4, August 2016
  4. Multiple liquid bridges with non-smooth interfaces
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 5, October 2016
Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 4, August 2016
New results on averaging theory and applications
Multiple liquid bridges with non-smooth interfaces
Exact solutions for logistic reaction–diffusion equations in biology
2D steady-state general solution and fundamental solution for fluid-saturated, orthotropic, poroelastic materials
An implicit three-dimensional model for describing the inelastic response of solids undergoing finite deformation
A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset
The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations
Global solutions to a chemotaxis model with consumption of chemoattractant
On the problem of a thin rigid inclusion embedded in a Maxwell material
An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case
Debonding of an elastic inhomogeneity of arbitrary shape in anti-plane shear
Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
Bed of polydisperse viscous spherical drops under thermocapillary effects
Ground state sign-changing solutions for a class of Schrödinger–Poisson type problems in $${\mathbb{R}^{3}}$$ R 3
Pullback attractors of the two-dimensional non-autonomous simplified Ericksen–Leslie system for nematic liquid crystal flows
Global regular solutions for the 3D Kawahara equation posed on unbounded domains
Torsional vibration of single-walled carbon nanotubes using doublet mechanics
Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations
Gigahertz nanomechanical oscillators based on ions inside cyclic peptide nanotubes: a continuum study
Global smooth flows for compressible Navier–Stokes–Maxwell equations
Incompressible limit of all-time solutions to 3-D full Navier–Stokes equations for perfect gas with well-prepared initial condition
Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences
The formulation of dynamical contact problems with friction in the case of systems of rigid bodies and general discrete mechanical systems—Painlevé and Kane paradoxes revisited
Long-term behavior of reaction–diffusion equations with nonlocal boundary conditions on rough domains
Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 3, June 2016
Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 2, April 2016
Zeitschrift für angewandte Mathematik und Physik : Volume 67, Issue 1, March 2016
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Multiple liquid bridges with non-smooth interfaces

Content Provider SpringerLink
Author Ratner, Vadim Rubinstein, Boris Y. Fel, Leonid G.
Copyright Year 2016
Abstract We consider a coexistence of two axisymmetric liquid bridges LB i and LB m of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S 1, S 2 and free contact lines. Evolution of liquid bridges allows two different configurations of LB i and LB m with multiple (five or three) interfaces of non-smooth shape. We formulate a variational problem with volume constraints and present its governing equations supplemented by boundary conditions. We find a universal relationship between curvature of the interfaces and discuss the Neumann triangle relations at the singular curve where all liquids meet together.
Ending Page 13
Page Count 13
Starting Page 1
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 4
Volume Number 67
Language English
Publisher Springer International Publishing
Publisher Date 2016-08-08
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematical Methods in Physics Capillarity Coexistence of three deformable interfaces Capillarity (surface tension) Liquid bridge Theoretical and Applied Mechanics Minimal surfaces, surfaces with prescribed mean curvature
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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