eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2022-12-13
Volume 31 (2023), Issue 1
10.46298/cm.10439
10439
journal article
Exponential stability for a nonlinear porous-elastic system with delay
M. J. Dos Santos
C. A. Raposo
L. G. R. Miranda
B. Feng
In this work, we consider the existence of global solution and the
exponential decay of a nonlinear porous elastic system with time delay. The
nonlinear term as well as the delay acting in the equation of the volume
fraction. In order to obtain the existence and uniqueness of a global solution,
we will use the semigroup theory of linear operators and under a certain
relation involving the coefficients of the system together with a Lyapunov
functional, we will establish the exponential decay of the energy associated to
the system.
https://cm.episciences.org/10439/pdf
Mathematics - Analysis of PDEs
35A02 (Primary) 35B35, 35B40 (Secondary)
A.0