Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
type: Item
instance of: scholarly article
title: Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
zbMATH Open document ID: 0899.76190
DOI: 10.1016/0167-2789(95)00054-8
author: Andrew J. Bernoff
author: Andrea L. Bertozzi
published in: Physica D
publication date: 1995-07-18T00:00:00Z
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 776464
zbMATH Keywords: finite-time singularity formation
zbMATH Keywords: bifurcation theory
zbMATH Keywords: stability of steady periodic solutions
zbMATH Keywords: similarity solutions
zbMATH Keywords: dynamically adaptive self-similar grid
MaRDI profile type: Publication
full work available at URL: 0167-2789(95)00054-8
OpenAlex ID: W2033765763
Wikidata QID: Q58934269
cites work: Equivalent Norms for Sobolev Spaces
cites work: Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Q3920841
cites work: Q3207312
cites work: A rescaling algorithm for the numerical calculation of blowing-up solutions
cites work: Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit
cites work: Q4849751
cites work: Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion
cites work: Q4297012
cites work: Blowup in a Partial Differential Equation with Conserved First Integral
cites work: Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
cites work: Analyticity for the Kuramoto-Sivashinsky equation
cites work: A global attracting set for the Kuramoto-Sivashinsky equation
cites work: On the Cahn-Hilliard equation
cites work: Motion of level sets by mean curvature. I
cites work: Q4734163
cites work: On a free boundary problem associated with combustion and solidification
cites work: On the equation of a curved flame front
cites work: Asymptotically self‐similar blow‐up of semilinear heat equations
cites work: Q3736159
cites work: Stability of the kuramoto‐sivashinsky and related systems
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: On KS-type equations describing the evolution and rupture of a liquid interface
cites work: Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation
cites work: A Geometrical Theory for Spiral Waves in Excitable Media
cites work: Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
cites work: Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
cites work: Q3766789
cites work: Q3808524
cites work: An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: Remarks on the Kuramoto-Sivashinsky equation
cites work: Interfacial instabilities in directional solidification of dilute binary alloys: the Kuramoto-Sivashinsky equation
cites work: On Cahn-Hilliard type equations
cites work: Blowup for nonlinear equations using a comparison principle in fourier space
cites work: Q4040777
cites work: Fast Reaction, Slow Diffusion, and Curve Shortening
cites work: An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt
cites work: Singular perturbation theory of traveling waves in excitable media (A review)
cites work: The space structure near a blow-up point for semilinear heat equations: A formal approach
cites work: Dynamics of wave fronts in excitable media
description: scientific article; zbMATH DE number 776464