معرفی
Ingrid Lacroix-Violet is a Professor at the University of Lorraine, affiliated with the Faculty of Science and Technology and the research institute IECL (Institut Élie Cartan de Lorraine). Her primary research focuses on the analysis and numerical solution of partial differential equations (PDEs), with emphasis on quantum fluid models, Bose-Einstein condensates, and high-order computational methods. She collaborates with the PDE team at IECL and maintains offices at both IECL (Room 214) and Polytech Nancy (Room F316).
Her research interests span:
- Theoretical analysis of fluid models (Navier-Stokes-Korteweg, Euler-Korteweg) and quantum systems (Schrödinger equations).
- Numerical innovation including linearly implicit methods, exponential integrators, and energy-preserving algorithms for evolution equations.
- Applications in vortex dynamics, rotating condensates, and stability of computational schemes.
Recent publications (2017–2025) demonstrate a consistent focus on advancing numerical techniques for quantum and fluid systems, with recurring themes of stability analysis, high-order discretization, and physical applications like Bose-Einstein condensates. Her work bridges mathematical rigor with computational efficiency in modeling complex physical phenomena.
