Abstract
Chapter 3 (resp., 4) treats evolutionary von Karman equations with (resp., without) rotational inertia forces.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, Leyden, 1976.
I. Chueshov, A problem of nonlinear oscillations of shallow shell in quasistatic formulation, Math. Notes, 47 (1990), 401–407.
I. Chueshov, On a certain system of equations with delay, occurring in aeroelasticity, J. Soviet Math., 58 (1992), 385–390.
J.M. Ghidaglia and R. Temam, Regularity of the solutions of second order evolution equations and their attractors, Ann. della Scuola Norm. Sup. Pisa, 14 (1987), 485–511.
J.K. Hale, Theory of Functional Differential Equations, 2nd ed., Springer, New York, 1977.
E.A. Krasil’shchikova, The Thin Wing in a Compressible Flow. Nauka, Moscow, 1978, in Russian.
J. Lagnese, Boundary Stabilization of Thin Plates, SIAM, Philadelphia, 1989.
J. L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Paris, 1969.
J. L. Lions, E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, vol. 1. Springer, New York, 1972.
J.E. Miñoz Rivera and G.P. Menzala, Decay rates of solutions to von Karman system for viscoelastic plates with memory, Quart. Appl. Math., 57(1) (1999), 181–200.
N.F. Morozov, Selected Two-Dimensional Problems of Elasticity Theory, Univ. Press, Leningrad, 1978, in Russian.
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, New York, 1986.
R. Showalter, Monotone Operators in Banach Spaces and Nonlinear Partial Differential Equations, AMS Providence, 1997
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media
About this chapter
Cite this chapter
Chueshov, I., Lasiecka, I. (2010). Von Karman Models with Rotational Forces. In: Von Karman Evolution Equations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87712-9_3
Download citation
DOI: https://doi.org/10.1007/978-0-387-87712-9_3
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-87711-2
Online ISBN: 978-0-387-87712-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)