8 papers
On the propagation of temperature-rate waves and traveling waves in rigid conductors of the Graffi--Franchi--Straughan type
Sandra Carillo, Pedro M. Jordan
We examine second-sound phenomena in a class of rigid, thermally conducting, solids that are described by a special case of the Maxwell--Catteneo flux law. Employing both analytica…
Magneto-elasticity on the disk
Sandra Carillo, Michel Chipot, Vanda Valente +1
A model problem of magneto-elastic body is considered. Specifically, the case of a two dimensional circular disk is studied. The functional which represents the magneto-elastic ene…
Matrix solitons solutions of the modified Korteweg-de Vries equation
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
Nonlinear non-Abelian Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations and their links via Baecklund transformations are considered. The focus is on the cons…
On weak regularity requirements of the relaxation modulus in viscoelasticity
Sandra Carillo, Michel Chipot, Vanda Valente +1
The existence and uniqueness of solution to a one-dimensional hyperbolic integro-differential problem arising in viscoelasticity is here considered. The kernel, in the linear visco…
Abelian versus non-Abelian Baecklund Charts: some remarks
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
Connections via Baecklund transformations among different non-linear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifica…
A 3-dimensional singular kernel problem in viscoelasticity: an existence result
Sandra Carillo
Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, ar…