scholarly journals Well-posedness and stability for Bresse-Timoshenko type systems with thermodiffusion effects and nonlinear damping

2021 ◽  
Vol 6 (3) ◽  
pp. 2704-2721
Author(s):  
Khaled zennir ◽  
◽  
Djamel Ouchenane ◽  
Abdelbaki Choucha ◽  
Mohamad Biomy ◽  
...  
Keyword(s):  
Type Systems ◽  
Nonlinear Damping ◽  
Well Posedness ◽  
Timoshenko Type

scholarly journals On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

2020 ◽  
Author(s):  
A Durán ◽  
D Dutykh ◽  
Dimitrios Mitsotakis
Keyword(s):  
Symplectic Structure ◽  
Numerical Approximation ◽  
Method Of Lines ◽  
Type Systems ◽  
Well Posedness ◽  
Solitary Wave Solutions ◽  
Model Surface ◽  
Hamiltonian Structures ◽  
Surface Wave Propagation ◽  
The Method Of Lines

© 2019 Elsevier B.V. In this paper we consider the numerical approximation of systems of BOUSSINESQ-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplectic and HAMILTONIAN formulations, well-posedness and existence of solitary-wave solutions)were previously analysed by the authors in Part I. As a second part of the study, considered here is the construction of geometric schemes for the numerical integration. By using the method of lines, the geometric properties, based on the multi-symplectic and HAMILTONIAN structures, of different strategies for the spatial and time discretizations are discussed and illustrated.

Well-posedness and general decay of a nonlinear damping porous-elastic system with infinite memory

2020 ◽  
Vol 61 (2) ◽  
pp. 021505 ◽  
Author(s):  
Houssem Eddine Khochemane ◽  
Abdelhak Djebabla ◽  
Salah Zitouni ◽  
Lamine Bouzettouta
Keyword(s):  
Elastic System ◽  
Nonlinear Damping ◽  
General Decay ◽  
Well Posedness ◽  
Infinite Memory

scholarly journals Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations

2009 ◽  
Vol 61 (3) ◽  
pp. 379-420 ◽  
Author(s):  
Igor Chueshov ◽  
Annie Millet
Keyword(s):  
Large Deviations ◽  
Type Systems ◽  
Well Posedness

scholarly journals On the stability of Timoshenko-type systems with internal frictional dampings and discrete time delays

2016 ◽  
Vol 96 (12) ◽  
pp. 2075-2101 ◽  
Author(s):  
Aissa Guesmia ◽  
Abdelaziz Soufyane
Keyword(s):  
Discrete Time ◽  
Time Delays ◽  
Type Systems ◽  
Timoshenko Type ◽  
The Stability

scholarly journals On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

2020 ◽  
Author(s):  
A Durán ◽  
D Dutykh ◽  
Dimitrios Mitsotakis
Keyword(s):  
Symplectic Structure ◽  
Numerical Approximation ◽  
Method Of Lines ◽  
Type Systems ◽  
Well Posedness ◽  
Solitary Wave Solutions ◽  
Model Surface ◽  
Hamiltonian Structures ◽  
Surface Wave Propagation ◽  
The Method Of Lines

© 2019 Elsevier B.V. In this paper we consider the numerical approximation of systems of BOUSSINESQ-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplectic and HAMILTONIAN formulations, well-posedness and existence of solitary-wave solutions)were previously analysed by the authors in Part I. As a second part of the study, considered here is the construction of geometric schemes for the numerical integration. By using the method of lines, the geometric properties, based on the multi-symplectic and HAMILTONIAN structures, of different strategies for the spatial and time discretizations are discussed and illustrated.

Unilateral problems for the wave equation with degenerate and localized nonlinear damping: well-posedness and non-stability results

2018 ◽  
Vol 291 (8-9) ◽  
pp. 1216-1239
Author(s):  
A. D. D. Cavalcanti ◽  
M. M. Cavalcanti ◽  
L. H. Fatori ◽  
M. A. Jorge Silva
Keyword(s):  
Wave Equation ◽  
Nonlinear Damping ◽  
Well Posedness ◽  
Unilateral Problems ◽  
Stability Results
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