RT journal article
T1 On the dynamics of a class of partial differential equations
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A1 Vargas Moreno, Álvaro
A2 Matemáticas
K1 Devaney chaos
K1 C0-semigroups
K1 Herzog spaces
K1 stability
AB We study the dynamical behaviour of a class of partial differential equations which includes the transport equation with decay, the advection-diffusion with decay, the linearized KdV equation and the linearized BBM equation. We characterize the stability regions as well as the chaotic regions in terms of the coeffcients of the equation and the weight of the Herzog space. Consequently, we will obtain relations between the chaotic and unstable regions, finding out that under certain restrictions both coincide.
PB Elsevier
SN 1096-0813
YR 2025
FD 2025
LK http://hdl.handle.net/10498/34355
UL http://hdl.handle.net/10498/34355
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026