Linear stability of source-type similarity solutions of the thin film equation

Linear stability of source-type similarity solutions of the thin film equation

We study the stability of compactly-supported source-type self-similar solutions of the generalized thin film equation ht = -(hnhxxx)x. Using linear stability analysis, applied to the problem in similarity variables, we show that the source-type solutions are stable. These results are related to the...

Volledige beschrijving

Bibliografische gegevens
Hoofdauteurs:	Bernoff, A, Witelski, T
Formaat:	Journal article
Taal:	English
Gepubliceerd in:	2002

Gelijkaardige items

Stability of self-similar solutions for van der Waals driven thin film rupture
door: Witelski, T, et al.
Gepubliceerd in: (1999)

Self-similar asymptotics for linear and nonlinear diffusion equations
door: Witelski, T, et al.
Gepubliceerd in: (1998)

Blowup and dissipation in a critical-case unstable thin film equation
door: Witelski, T, et al.
Gepubliceerd in: (2004)

Dynamics of three-dimensional thin film rupture
door: Witelski, T, et al.
Gepubliceerd in: (2000)

Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff
door: Bernoff, A, et al.
Gepubliceerd in: (1998)

The linear limit of the dipole problem for the thin film equation
door: Bowen, M, et al.
Gepubliceerd in: (2006)

Similarity solutions of the lubrication equation
door: Witelski, T
Gepubliceerd in: (1997)

Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity
door: Vaynblat, D, et al.
Gepubliceerd in: (2001)

EXPONENTIAL ASYMPTOTICS FOR THIN FILM RUPTURE
door: Chapman, S, et al.
Gepubliceerd in: (2013)

Heteroclinic orbits, mobility parameters and stability for thin film type equations
door: Richard. S. Laugesen, et al.
Gepubliceerd in: (2002-11-01)

Travelling-Wave Similarity Solutions For Unsteady Thin-Film Flows
door: Abas, Siti Sabariah
Gepubliceerd in: (2016)

Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation
door: Pablo Alvarez-Caudevilla, et al.
Gepubliceerd in: (2015-04-01)

Collision versus collapse of droplets in coarsening of dewetting thin films
door: Glasner, K, et al.
Gepubliceerd in: (2005)

Localized Marangoni forcing in driven thin films
door: Haskett, R, et al.
Gepubliceerd in: (2005)

Steady-profile fingering flows in Marangoni driven thin films.
door: Sur, J, et al.
Gepubliceerd in: (2004)

Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation
door: Witelski, T
Gepubliceerd in: (1998)

AN ASYMPTOTIC SOLUTION FOR TRAVELING WAVES OF A NONLINEAR-DIFFUSION FISHERS EQUATION
door: Witelski, T
Gepubliceerd in: (1994)

Soliton solutions of thin-film ferroelectric materials equation
door: Maasoomah Sadaf, et al.
Gepubliceerd in: (2024-03-01)

New exact solutions of sixth-order thin-film equation
door: Wafaa M. Taha, et al.
Gepubliceerd in: (2014-01-01)

New slip regimes and the shape of dewetting thin liquid films.
door: Fetzer, R, et al.
Gepubliceerd in: (2005)

Stability analysis of unsteady, nonuniform base states in thin film equations
door: Dziwnik, M, et al.
Gepubliceerd in: (2014)

Linear stability analysis of a sharp-interface model for dewetting thin films
door: King, JR, et al.
Gepubliceerd in: (2009)

Stability of solutions of Oskolkov linear equations on a geometrical graph
door: G. A. Sviridyuk, et al.
Gepubliceerd in: (2009-06-01)

Stability tests and solution estimates for non-linear differential equations
door: Osman Tunç
Gepubliceerd in: (2023-01-01)

On Ulam’s Type Stability of the Linear Equation and Related Issues
door: Janusz Brzdęk, et al.
Gepubliceerd in: (2014-01-01)

New exact solutions of the sixth-order thin-film equation with complex method
door: Guoqiang Dang
Gepubliceerd in: (2021-12-01)

Similarity Solution for Fractional Diffusion Equation
door: Jun-Sheng Duan, et al.
Gepubliceerd in: (2014-01-01)

Similarity solutions for the generalized equation of steady transonic gas flow with a singular source
door: Bellout, H, et al.
Gepubliceerd in: (2015)

Bias stability of solution-processed In2O3 thin film transistors
door: Isam Abdullah, et al.
Gepubliceerd in: (2020-01-01)

On Stability of Periodic Solutions of Lienard Type Equations
door: Zijian Yin, et al.
Gepubliceerd in: (2017-01-01)

On a fractional thin film equation
door: Segatti Antonio, et al.
Gepubliceerd in: (2020-03-01)

Methods for stability and instability of the solution of one non-linear differential equation
door: Nguyen Dang Bich, et al.
Gepubliceerd in: (1996-09-01)

Stability of peak solutions of a non-linear transport equation on the circle
door: Edith Geigant, et al.
Gepubliceerd in: (2012-09-01)

Linear differential equations with variable coefficients : criteria of stability and unstability of their solutions /
door: 367903 Shtokalo, Iosyp Zakharovych
Gepubliceerd in: (1961)

Stability of solutions of linear differential equations in infinite matrices with dominant diagnol /
door: 296912 Chew, K. H.
Gepubliceerd in: (1982)

Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film
door: Yatim, Y, et al.
Gepubliceerd in: (2013)

Self-similar rupture of viscous thin films in the strong-slip regime
door: Peschka, D, et al.
Gepubliceerd in: (2010)

Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
door: Hajar Ismael
Gepubliceerd in: (2014-12-01)

Exact fractional soliton solutions of thin-film ferroelectric material equation by analytical approaches
door: Waqas Ali Faridi, et al.
Gepubliceerd in: (2023-09-01)

Perturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations
door: Hongli An, et al.
Gepubliceerd in: (2017-02-01)