3 papers
math.NA2025
Finite element discretization of nonlinear models of ultrasound heating
Julio Careaga, Benjamin Dörich, Vanja NikoliÄ
Heating generated by high-intensity focused ultrasound waves is central to many emerging medical applications, including non-invasive cancer therapy and targeted drug delivery. In…
math.AP2024
Westervelt-based modeling of ultrasound-enhanced drug delivery
Julio Careaga, Vanja NikoliÄ, Belkacem Said-Houari
We investigate a nonlinear multiphysics model motivated by ultrasound-enhanced drug delivery. The acoustic pressure field is modeled by Westervelt's quasilinear wave equation to ad…
physics.flu-dyn2024
Application of the thin-film equations in modelling of Marangoni flow patterns amongst surfactant source and drain locations
Julio Careaga, Peter A. Korevaar, Vanja NikoliÄ +1
Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combine…