Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem
From MaRDI portal
Publication:880931
DOI10.1007/s00205-006-0027-3zbMath1110.76021OpenAlexW2102034313MaRDI QIDQ880931
Publication date: 21 May 2007
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-006-0027-3
Navier-Stokes equations for incompressible viscous fluids (76D05) Thin fluid films (76A20) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items (6)
Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against \(C_{\mathrm{ub}}^m\)-perturbations ⋮ Uniform estimates for the flow of a viscous incompressible fluid down an inclined plane in the thin film regime ⋮ Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation ⋮ Diffusive mixing of periodic wave trains in reaction-diffusion systems ⋮ A mathematical justification of a thin film approximation for the flow down an inclined plane ⋮ Quasi-Linear Parabolic Reaction-Diffusion Systems: A User's Guide to Well-Posedness, Spectra, and Stability of Travelling Waves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large-time regularity of viscous surface waves
- Semigroups of linear operators and applications to partial differential equations
- Existence and non-existence of global solutions for a semilinear heat equation
- Renormalization group and the Ginzburg-Landau equation
- On the Navier-Stokes flow down an inclined plane
- Stability of wavy conditions in a film flowing down an inclined plane
- On the Navier-Stokes equations in noncylindrical domains
- Diffusive mixing of stable states in the Ginzburg-Landau equation
- Nonlinear stability of Taylor vortices in infinite cylinders
- Navier-Stokes flow down an inclined plane: Downward periodic motion
- Non-linear stability of modulated fronts for the Swift-Hohenberg equation
- Invariant manifolds for parabolic partial differential equations on unbounded domains
- Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation
- Almost global existence and transient self similar decay for Poiseuille flow at criticality for exponentially long times
- Stable transport of information near essentially unstable localized structures
- Self-similar decay of localized perturbations in the integral boundary layer equation
- Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Wave formation in laminar flow down an inclined plane
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- The initial value problem for the navier-stokes equations with a free surface
- Best constants in Korn‐Poincaré's inequalities on a slab
- Renormalization group and asymptotics of solutions of nonlinear parabolic equations
- On stability of liquid flow down an inclined plane
- Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
- Diffusive stability of rolls in the two–dimensional real and complex swift–hohenberg equation
- Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
- Linear pulse structure and signalling in a film flow on an inclined plane
- Long-time persistence of Korteweg–de Vries solitons as transient dynamics in a model of inclined film flow
This page was built for publication: Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem
