Nonlinear Analysis, Partial Differential Equations and Calculus of Variations.

Lewicka's research areas are nonlinear analysis, partial differential equations and calculus of variations. She has obtained results on the well-posedness and stability of systems of conservation laws and reaction-diffusion equations. Currently, her research focuses on the mathematical theory of elasticity with connections to Riemannian geometry and with an eye on the applications in morphogenesis of growth.

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