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Mathematical biology Boltzmann equation Evolution Control Chemotaxis Finite element method Finite elements Tumor growth Level set method Incompressible fluid Asymptotic behavior Finite element Shape optimization Asymptotic analysis Discontinuous Galerkin Stability Optimization Boundary conditions Viscosity solutions Transport equation Robustness Finite volume Hemodynamics Nonlinear elasticity Stabilization Finite volume method Pontryagin maximum principle Null controllability Stability analysis Integro-differential equations Travelling waves Partial differential equations Neural networks Maximum principle Inverse problem Backstepping Error estimates Shells Cancer Linear elasticity Fluid-structure interaction A posteriori error estimates Parameter estimation Traveling waves Hamilton-Jacobi equation Cardiac electrophysiology Population dynamics Numerical analysis Elasticity Schrödinger equation A posteriori error estimate Finite volumes Analyse numérique Two-phase flows Numerical simulation Numerical simulations Blood flow Relaxation Convergence Mean field games Uncertainty quantification Wave equation Renewal equation Analyse asymptotique Gradient flow Optimisation de forme Hamilton-Jacobi equations Gross-Pitaevskii equation Homogenization Finite volume scheme Domain decomposition methods Parallel computing Mesh adaptation Optimal control Structured populations Dimension reduction Domain decomposition Controllability Numerical methods Gamma-convergence Adaptive evolution Navier-Stokes equations Cell population dynamics Kinetic equations Data assimilation Hyperbolic systems Observability CFD Asymptotics Cell division cycle Interaction fluide-structure Reaction-diffusion equations Contact Heat equation Periodic homogenization Inverse problems Contrôle optimal Free surface flows Mathematical modeling Calculus of variations