Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems

2002 ◽  
pp. 197-216 ◽  
Author(s):  
Herbert Koch ◽  
Irena Lasiecka
Keyword(s):  
Weak Solutions ◽  
Nonlinear Dynamic ◽  
Well Posedness ◽  
Dynamic Elasticity ◽  
Von Karman ◽  
Von Kármán

scholarly journals Well-posedness and regularity results for a dynamic Von Kármán plate

1995 ◽  
Vol 18 (2) ◽  
pp. 237-244
Author(s):  
M. E. Bradley
Keyword(s):  
Strong Solutions ◽  
Free Edge ◽  
Regularity Of Solutions ◽  
Well Posedness ◽  
Boundary Damping ◽  
Von Karman ◽  
Edge Conditions ◽  
Von Kármán Plate ◽  
Regularity Results ◽  
Von Kármán

We consider the problem of well-posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through “free edge” conditions on the remainder of the boundary. We prove the existence of unique strong solutions for this system

scholarly journals Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Salah Mahmoud Boulaaras ◽  
Bahri Belkacem Cherif ◽  
Mohamed Abdalla
Keyword(s):  
Stability Result ◽  
Beam Model ◽  
Well Posedness ◽  
Time Varying ◽  
Heat And Mass Exchange ◽  
Time Varying Delay ◽  
Von Karman ◽  
Diffusion Effects ◽  
Von Kármán ◽  
Varying Delay

In this work, we consider a new full von Kármán beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Kármán beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.

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