Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 68, 1998 - Issue 1-2
Submit an article Journal homepage
44
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Weak, classical and intermediate solutions to full von karman system of dynamic nonlinear elasticity

Lasiecka Irena Department of Applied Mathematics, University of Virginia, Charlottesville, Va 22903
Pages 121-145 | Received 01 Jan 1997, Published online: 20 Jan 2011

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Wenjun Liu, Kewang Chen & Jun Yu. (2018) Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping. Applicable Analysis 97:3, pages 400-414.
Read now
Irena Lasiecka. (1999) Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation. Communications in Partial Differential Equations 24:9-10, pages 1801-1847.
Read now

Articles from other publishers (18)

Aliki D. Muradova & Georgios E. Stavroulakis. (2020) Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review. Mathematics 8:4, pages 566.
Crossref
Huatao Chen, Dengqing Cao, Jingfei Jiang & Xiaoming Fan. (2018) Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise. Symmetry 10:8, pages 315.
Crossref
Fágner Dias Araruna, Pablo Braz e Silva & Pammella Queiroz-Souza. (2018) Asymptotic limits and stabilization for the 2D nonlinear Mindlin–Timoshenko system. Analysis & PDE 11:2, pages 351-382.
Crossref
Aliki D. Muradova. (2014) A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate. Journal of Engineering Mathematics 92:1, pages 83-101.
Crossref
Aliki D. Muradova & Georgios E. Stavroulakis. (2014) Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate. Key Engineering Materials 618, pages 227-239.
Crossref
Igor Chueshov & Iryna Ryzhkova. (2013) Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Karman equations. Journal of Differential Equations 254:4, pages 1833-1862.
Crossref
Jaime E. Muñoz Rivera, A. Soufyane & M.L. Santos. (2012) General decay to the full von Kármán system with memory. Nonlinear Analysis: Real World Applications 13:6, pages 2633-2647.
Crossref
Xiuli Lin & Fushan Li. (2012) Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping. Abstract and Applied Analysis 2012, pages 1-25.
Crossref
Fushan Li. (2010) Limit behavior of the solution to nonlinear viscoelastic Marguerre–von Kármán shallow shell system. Journal of Differential Equations 249:6, pages 1241-1257.
Crossref
Fu Shan Li. (2009) Global existence and uniqueness of weak solution to nonlinear viscoelastic full Marguerre-von Kármán shallow shell equations. Acta Mathematica Sinica, English Series 25:12, pages 2133-2156.
Crossref
Fushan Li & Yuzhen Bai. (2009) Uniform decay rates for nonlinear viscoelastic Marguerre–von Kármán equations. Journal of Mathematical Analysis and Applications 351:2, pages 522-535.
Crossref
John Cagnol, Irena Lasiecka, Catherine Lebiedzik & Richard Marchand. (2007) Hadamard well-posedness for a class of nonlinear shallow shell problems. Nonlinear Analysis: Theory, Methods & Applications 67:8, pages 2452-2484.
Crossref
R. Gulliver, W. Littman, I. Lasiecka & R. Triggiani. 2004. Geometric Methods in Inverse Problems and PDE Control. Geometric Methods in Inverse Problems and PDE Control 73 181 .
G. Perla Menzala, Ademir F. Pazoto & Enrique Zuazua. (2002) Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates. ESAIM: Mathematical Modelling and Numerical Analysis 36:4, pages 657-691.
Crossref
Herbert Koch & Irena Lasiecka. 2002. Evolution Equations, Semigroups and Functional Analysis. Evolution Equations, Semigroups and Functional Analysis 197 216 .
Assia Benabdallah & Irena Lasiecka. (2000) Exponential Decay Rates for a Full von Karman System of Dynamic Thermoelasticity. Journal of Differential Equations 160:1, pages 51-93.
Crossref
Irena Lasiecka. (1998) Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback. SIAM Journal on Control and Optimization 36:4, pages 1376-1422.
Crossref
I. Lasiecka. (1998) The uniform stabilization of a full von Karman system with nonlinear boundary feedback. The uniform stabilization of a full von Karman system with nonlinear boundary feedback.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.