17 citations · 40 across the 14 of their papers we have counts for
3 papers · 1 filter
Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy
Konstantinos Koumatos, Corrado Lattanzio, Stefano Spirito +1
We consider nonlinear viscoelastic materials of Kelvin-Voigt type with stored energies satisfying an Andrews-Ball condition, allowing for non convexity in a compact set. Existence…
On the uniqueness of solutions to hyperbolic systems of conservation laws
Shyam Sundar Ghoshal, Animesh Jana, Konstantinos Koumatos
For general hyperbolic systems of conservation laws we show that dissipative weak solutions belonging to an appropriate Besov space and satisfying a one-sided boun…
-quasiconvexity, Gårding inequalities and applications in PDE constrained problems in dynamics and statics
Konstantinos Koumatos, Andreas Vikelis
A Gårding-type inequality is proved for a quadratic form associated to -quasiconvex functions. This quadratic form appears as the relative entropy in the theory of con…