3 papers
math.AP2025
Improved existence time for the Whitham equation and a Whitham-Boussinesq system
Didier Pilod, Sigmund Selberg, Nadia Skoglund Taki +1
In this paper, we investigate the time of existence of the solutions to two full dispersion models derived from the water waves equations in the shallow water regime: the Whitham e…
math.AP2024
Weak solvability of elliptic variational inequalities coupled with a nonlinear differential equation
Nadia Skoglund Taki
In this paper we establish existence, uniqueness, and boundedness results for an elliptic variational inequality coupled with a nonlinear ordinary differential equation. Under the…
math.AP2024
Well-posedness of evolutionary differential variational-hemivariational inequalities and applications to frictional contact mechanics
Nadia Skoglund Taki, Kundan Kumar
In this paper, we study the well-posedness of a class of evolutionary variational-hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spa…