Nonlinear stability for multidimensional fourth-order shock fronts

DOI10.1007/s00205-005-0409-yzbMath1121.76025OpenAlexW2036486091MaRDI QIDQ2498083

Peter Howard, Changbing Hu

Publication date: 11 August 2006

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-005-0409-y

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear effects in hydrodynamic stability (76E30) Thin fluid films (76A20) Interfacial stability and instability in hydrodynamic stability (76E17) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Asymptotic behavior near planar transition fronts for the Cahn-Hilliard equation ⋮ Stability of transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Linear stability for transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Nonlinear stability for multidimensional fourth-order shock fronts ⋮ Short-time existence theory toward stability for nonlinear parabolic systems

Cites Work

• Pointwise estimates and stability for dispersive-diffusive shock waves
• Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
• Stability of undercompressive shock profiles
• Nonlinear stability for multidimensional fourth-order shock fronts
• Pointwise Green's function estimates toward stability for multidimensional fourth-order viscous shock fronts
• Stability of compressive and undercompressive thin film travelling waves
• Pointwise semigroup methods and stability of viscous shock waves
• Asymptotic behavior of multidimensional scalar viscous shock fronts
• Undercompressive shocks in thin film flows.
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