Time Integration and Steady-State Continuation for 2d Lubrication Equations
暂无分享,去创建一个
[1] Ioannis G. Kevrekidis,et al. Bifurcations and pattern formation in the "regularized" Kuramoto-Sivashinsky equation , 1992 .
[2] I. Kevrekidis,et al. Back in the saddle again: a computer assisted study of the Kuramoto-Sivashinsky equation , 1990 .
[3] P. Rosenau,et al. On a nonlinear thermocapillary effect in thin liquid layers , 1994, Journal of Fluid Mechanics.
[4] J. E. Hilliard,et al. Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .
[5] S. Chou,et al. Novel polymer patterns formed by lithographically induced self-assembly (LISA). , 2005, Langmuir : the ACS journal of surfaces and colloids.
[6] U. Thiele,et al. Long-wave theory of bounded two-layer films with a free liquid–liquid interface: Short- and long-time evolution , 2004, nlin/0412040.
[7] J. Vega,et al. Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Y. Saad. Analysis of some Krylov subspace approximations to the matrix exponential operator , 1992 .
[9] Ashutosh Sharma,et al. Instability of thin polymer films on coated substrates : Rupture, dewetting, and drop formation , 1996 .
[10] U. Thiele,et al. Morphology changes in the evolution of liquid two-layer films. , 2004, The Journal of chemical physics.
[11] L. Tuckerman,et al. A method for exponential propagation of large systems of stiff nonlinear differential equations , 1989 .
[12] Self-propelled running droplets on solid substrates driven by chemical reactions , 2005, The European physical journal. E, Soft matter.
[13] L. Tuckerman,et al. Bifurcation Analysis for Timesteppers , 2000 .
[14] M. Golubitsky,et al. Bifurcation on the hexagonal lattice and the planar Bénard problem , 1983, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[15] S. Troian,et al. A Theoretical Study of Instabilities at the Advancing Front of Thermally Driven Coating Films , 1997, Journal of colloid and interface science.
[16] Andrea L. Bertozzi,et al. CONTACT LINE STABILITY AND UNDERCOMPRESSIVE SHOCKS IN DRIVEN THIN FILM FLOW , 1998 .
[17] T. P. Witelskia,et al. ADI schemes for higher-order nonlinear diffusion equations , 2003 .
[18] Unther Gr¨un. ON THE CONVERGENCE OF ENTROPY CONSISTENT SCHEMES FOR LUBRICATION TYPE EQUATIONS IN MULTIPLE SPACE DIMENSIONS , 2000 .
[19] Herbert E. Huppert,et al. Flow and instability of a viscous current down a slope , 1982, Nature.
[20] A. Münch. Pinch-off transition in Marangoni-driven thin films. , 2003, Physical review letters.
[21] E. Knobloch,et al. Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics , 1991 .
[22] Serafim Kalliadasis. Nonlinear instability of a contact line driven by gravity , 2000, Journal of Fluid Mechanics.
[23] Stephan Herminghaus,et al. Dynamics and structure formation in thin polymer melt films , 2005 .
[24] M. J. Robbins,et al. Modelling approaches to the dewetting of evaporating thin films of nanoparticle suspensions , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.
[25] U. Thiele,et al. Dynamics of a horizontal thin liquid film in the presence of reactive surfactants , 2007 .
[26] Driven drops on heterogeneous substrates: onset of sliding motion. , 2006, Physical review letters.
[27] P. Hänggi,et al. Depinning of three-dimensional drops from wettability defects , 2008, 0811.2918.
[28] George M. Homsy,et al. Stability of Newtonian and viscoelastic dynamic contact lines , 1996 .
[29] Ashutosh Sharma. Relationship of thin film stability and morphology to macroscopic parameters of wetting in the apolar and polar systems , 1993 .
[30] Eli Ruckenstein,et al. Spontaneous rupture of thin liquid films , 1974 .
[31] Eusebius J. Doedel,et al. Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems , 2012 .
[32] Andrea L. Bertozzi,et al. Undercompressive shocks in thin film flows , 1999 .
[33] Marlis Hochbruck,et al. Exponential Integrators for Large Systems of Differential Equations , 1998, SIAM J. Sci. Comput..
[34] P. Hänggi,et al. PAPER www.rsc.org/softmatter | Soft Matter Ratchet-driven fluid transport in bounded two-layer films of immiscible liquids , 2007 .
[35] Ashutosh Sharma,et al. PATTERN FORMATION IN UNSTABLE THIN LIQUID FILMS , 1998 .
[36] Paul Wheeler,et al. Computation of Spiral Spectra , 2005, SIAM J. Appl. Dyn. Syst..
[37] Thomas Podgorski,et al. Corners, cusps, and pearls in running drops. , 2001, Physical review letters.
[38] Ralf Blossey,et al. Complex dewetting scenarios captured by thin-film models , 2003, Nature materials.
[39] S. Bankoff,et al. Long-scale evolution of thin liquid films , 1997 .
[40] U. Thiele. Open questions and promising new fields in dewetting , 2003, The European physical journal. E, Soft matter.
[41] D. Bonn,et al. Wetting and Spreading , 2009 .
[42] M. Bestehorn,et al. Surface patterns of laterally extended thin liquid films in three dimensions. , 2001, Physical review letters.
[43] T. Manteuffel. The Tchebychev iteration for nonsymmetric linear systems , 1977 .
[44] R. Seydel. Practical Bifurcation and Stability Analysis , 1994 .
[45] Y. Pomeau,et al. Film rupture in the diffuse interface model coupled to hydrodynamics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[46] Andrea L. Bertozzi,et al. Linear stability and transient growth in driven contact lines , 1997 .
[47] Andreas Münch,et al. Dewetting rates of thin liquid films , 2005 .
[48] U. Thiele. Structure Formation in Thin Liquid Films , 2007 .
[49] Diem Ho. Tchebychev acceleration technique for large scale nonsymmetric matrices , 1989 .
[50] L. Pismen,et al. Marangoni waves induced by a multistable chemical reaction on thin liquid films , 1984 .
[51] L. Brusch,et al. Modelling Thin Film Dewetting on Structured Surfaces and Templates: Bifurcation Analysis and Numerical Simulations , 2022 .
[52] M. Sadkane. A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices , 1993 .
[53] C. Lubich,et al. On Krylov Subspace Approximations to the Matrix Exponential Operator , 1997 .
[54] E. Knobloch,et al. On the depinning of a driven drop on a heterogeneous substrate , 2006 .
[55] Lou Kondic,et al. Computing three-dimensional thin film flows including contact lines , 2002 .
[56] P. Rosenau,et al. Formation of patterns induced by thermocapillarity and gravity , 1992 .
[57] É. Raphaël,et al. Dewetting of thin polymer films , 2006, The European physical journal. E, Soft matter.
[58] Andrea L. Bertozzi,et al. Shock Solutions for Particle-Laden Thin Films , 2005, SIAM J. Appl. Math..
[59] U. Thiele. Thin film evolution equations from (evaporating) dewetting liquid layers to epitaxial growth , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.
[60] L. Limat,et al. Shape and motion of drops sliding down an inclined plane , 2005, Journal of Fluid Mechanics.
[61] Martin Rumpf,et al. Simulation of singularities and instabilities arising in thin film flow , 2001, European Journal of Applied Mathematics.
[62] Oliver E. Jensen,et al. Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture , 1992, Journal of Fluid Mechanics.
[63] F. Heslot,et al. Fingering instability of thin spreading films driven by temperature gradients , 1990, Nature.
[64] Ashutosh Sharma,et al. Electric-field-induced interfacial instabilities and morphologies of thin viscous and elastic bilayers. , 2009, Langmuir : the ACS journal of surfaces and colloids.
[65] Oron,et al. Stable localized patterns in thin liquid films. , 1992, Physical review letters.
[66] Dynamical model for chemically driven running droplets. , 2004, Physical review letters.
[67] U. Thiele,et al. Thin Films of Soft Matter , 2007 .
[68] U. Thiele,et al. 3D Large scale Marangoni convection in liquid films , 2003 .
[69] A. Sharma,et al. Auto-optimization of dewetting rates by rim instabilities in slipping polymer films. , 2001, Physical review letters.
[70] E. Knobloch,et al. Long-wave Marangoni instability with vibration , 2005, Journal of Fluid Mechanics.
[71] Ashutosh Sharma,et al. The ABC of pattern evolution in self-destruction of thin polymer films , 2000 .
[72] Edgar Knobloch,et al. Thin liquid films on a slightly inclined heated plate , 2004 .
[73] L. Schwartz,et al. Fingering phenomena for driven coating films , 2000 .
[74] Reiter,et al. Dewetting of thin polymer films. , 1992, Physical review letters.
[75] Alexander Oron,et al. Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films , 2000 .
[76] R. Craster,et al. Models for Marangoni drying , 2001 .
[77] J. H. Conway,et al. Groups, Combinatorics & Geometry: The orbifold notation for surface groups , 1992 .
[78] M. Velarde,et al. Dewetting: film rupture by nucleation in the spinodal regime. , 2001, Physical review letters.
[79] V. Mitlin. Dewetting of Solid Surface: Analogy with Spinodal Decomposition , 1993 .
[80] Ashutosh Sharma,et al. Electric field induced instability and pattern formation in thin liquid films. , 2005, Langmuir : the ACS journal of surfaces and colloids.
[81] Jörg Liesen,et al. Convergence analysis of Krylov subspace methods , 2004 .
[82] Andrea L. Bertozzi,et al. Dewetting films: bifurcations and concentrations , 2001 .
[83] Antonio Palacios,et al. Noise-Induced intermittency in Cellular Pattern-Forming Systems , 2007, Int. J. Bifurc. Chaos.
[84] J. Swift,et al. Suppression of dripping from a ceiling. , 2001, Physical review letters.
[85] J. Wesfreid,et al. Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer , 1992, Journal of Fluid Mechanics.
[86] A. Oron,et al. Three-dimensional nonlinear dynamics of thin liquid films , 2000, Physical review letters.
[87] K. Meerbergen,et al. Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems , 1996 .
[88] Andrea L. Bertozzi,et al. Positivity-Preserving Numerical Schemes for Lubrication-Type Equations , 1999, SIAM J. Numer. Anal..
[89] Zhiqun Lin,et al. Electric field induced instabilities at liquid'liquid interfaces , 2001 .
[90] L. Limat,et al. Self-similar flow and contact line geometry at the rear of cornered drops , 2005 .
[91] E. Knobloch,et al. Front and back instability of a liquid film on a slightly inclined plate , 2003 .
[92] Thomas P. Witelski,et al. Coarsening dynamics of dewetting films. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[93] A. Nepomnyashchy,et al. Convective Cahn-Hilliard models: from coarsening to roughening. , 2001, Physical review letters.
[94] R. Behringer,et al. Reverse undercompressive shock structures in driven thin film flow. , 2002, Physical review letters.
[95] M. Fermigier,et al. Rayleigh-Taylor Instability of a Thin Layer , 1991 .
[96] Y. Pomeau,et al. Sliding drops in the diffuse interface model coupled to hydrodynamics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.