Pointwise Green Function Bounds and Long-Time Stability of Large-Amplitude Noncharacteristic Boundary Layers

DOI10.1137/080714804zbMath1180.35145arXiv0801.4899OpenAlexW2119093921MaRDI QIDQ3648574

Shantia Yarahmadian, Kevin Zumbrun

Publication date: 27 November 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4899

zbMATH Keywords

Evans functionone space dimensionboundary layer stabilitylinearized and nonlinearized stabilitypointwise semigroup techniques

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Quasilinear parabolic equations (35K59)

Related Items (7)

Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers ⋮ Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation ⋮ Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations ⋮ Stability of noncharacteristic boundary layers in the standing-shock limit ⋮ Long-time stability of multi-dimensional noncharacteristic viscous boundary layers ⋮ Stability of hydraulic shock profiles ⋮ Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic-parabolic systems

This page was built for publication: Pointwise Green Function Bounds and Long-Time Stability of Large-Amplitude Noncharacteristic Boundary Layers