Generation of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipation

DOI10.1002/mma.1518zbMath1284.35266OpenAlexW1509948943MaRDI QIDQ2857534

Justin T. Webster, Irena Lasiecka

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1518

zbMATH Keywords

well-posednessnonlinear boundary conditionsfinite energy solutionsnonlinear plate equationvon Kármán nonlinearity

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Attractors (35B41) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (2)

An inviscid free boundary fluid-wave model ⋮ Flow-plate interactions: well-posedness and long-time behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach
• Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas
• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• Les equations de von Kármán
• Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data
• Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary
• Asymptotic behavior with respect to thickness of boundary stabilizing feedback for the Kirchhoff plate
• Mixed problem for hyperbolic equation of second order
• Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow
• The strong stability and instability of a fluid-structure semigroup
• Long-time behavior of second order evolution equations with nonlinear damping
• Von Karman Evolution Equations
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate

This page was built for publication: Generation of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipation