Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem
type: Item
instance of: scholarly article
title: Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem
zbMATH Open document ID: 1110.76021
author: Hannes Uecker
published in: Archive for Rational Mechanics and Analysis
publication date: 2007-05-21T00:00:00Z
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76A20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5155233
zbMATH Keywords: renormalization group approach
zbMATH Keywords: linear stability
zbMATH Keywords: Burgers equation
describes a project that uses: AUTO
MaRDI profile type: Publication
full work available at URL: s00205-006-0027-3
OpenAlex ID: W2102034313
cites work: Q3783708
cites work: The initial value problem for the navier-stokes equations with a free surface
cites work: Large-time regularity of viscous surface waves
cites work: Wave formation in laminar flow down an inclined plane
cites work: On the Navier-Stokes equations in noncylindrical domains
cites work: Linear pulse structure and signalling in a film flow on an inclined plane
cites work: Renormalization group and the Ginzburg-Landau equation
cites work: Renormalization group and asymptotics of solutions of nonlinear parabolic equations
cites work: Q4341388
cites work: Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
cites work: Non-linear stability of modulated fronts for the Swift-Hohenberg equation
cites work: Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation
cites work: Diffusive mixing of stable states in the Ginzburg-Landau equation
cites work: Stable transport of information near essentially unstable localized structures
cites work: Best constants in Korn‐Poincaré's inequalities on a slab
cites work: Q5549989
cites work: Stability of wavy conditions in a film flowing down an inclined plane
cites work: Navier-Stokes flow down an inclined plane: Downward periodic motion
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q3424669
cites work: Long-time persistence of Korteweg–de Vries solitons as transient dynamics in a model of inclined film flow
cites work: Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
cites work: Nonlinear stability of Taylor vortices in infinite cylinders
cites work: Almost global existence and transient self similar decay for Poiseuille flow at criticality for exponentially long times
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
cites work: On stability of liquid flow down an inclined plane
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
cites work: On the Navier-Stokes flow down an inclined plane
cites work: Approximate equations for long nonlinear waves on a viscous fluid
cites work: Diffusive stability of rolls in the two–dimensional real and complex swift–hohenberg equation
cites work: Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
cites work: Self-similar decay of localized perturbations in the integral boundary layer equation
cites work: Invariant manifolds for parabolic partial differential equations on unbounded domains
cites work: Existence and non-existence of global solutions for a semilinear heat equation
DOI: 10.1007/S00205-006-0027-3
description: scientific article; zbMATH DE number 5155233