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DRAIFIA ALA
Public Documents
2
Blowing-up solutions for the Moore-Gibson-Thompson equation with visco-elastic memory...
Mokhtar Kirane
and 2 more
October 03, 2023
The Moore-Gibson-Thompson equation with a viscoelastic memory and a forcing is considered. The existence and uniqueness of a local solution is obtained via the Faedo-Galerkin's method. Furthermore, blowing-up solutions with or without a positive initial energy exist due to the nonlinear forcing.
INTRINSIC DECAY RATES FOR THE ENERGY OF A SINGULAR NONLOCAL VISCOELASTIC SYSTEM
DRAIFIA ALA
April 13, 2020
This work deals with intrinsic decay rates for the energy of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. We prove the intrinsic decay rates for the energy of a singular one-dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition of relaxation kernels described by the inequality g_{i}′(t)≤-H(g_{i}(t)), (i=1,2) for all t≥0, with H convex.