scholarly journals Existence and convergence of Galerkin approximation for second order hyperbolic equations with memory term

2015 ◽  
Vol 32 (2) ◽  
pp. 548-563
Author(s):  
Fardin Saedpanah
Author(s):  
Michele Annese ◽  
Luca Bisconti ◽  
Davide Catania

AbstractWe consider the 3D simplified Bardina turbulence model with horizontal filtering, fractional dissipation, and the presence of a memory term incorporating hereditary effects. We analyze the regularity properties and the dissipative nature of the considered system and, in our main result, we show the existence of a global exponential attractor in a suitable phase space.


2011 ◽  
Vol 151 (1) ◽  
pp. 64-80 ◽  
Author(s):  
Maria Bernadette Donato ◽  
Monica Milasi ◽  
Laura Scrimali

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