5 papers · 1 filter
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…
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…
The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions
Sandra Carillo, Federico Zullo
Bäcklund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constr…
Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function
Sandra Carillo
The model of rigid linear heat conductor with memory is reconsidered focussing the interest on the heat relaxation function. Thus, the definitions of heat flux and thermal work are…