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Mots-clés

Transport equation Second quantization Schrödinger operator Networks Microlocal analysis Optimal control Quadratic operators Hall effect Asymptotic analysis Asymptotic models ODE's flow Euler equations Magneto-transport 49L25 Magnetic field Logarithmic nonlinearity Periodic traveling waves Global well-posedness Subelliptic estimates Fractal boundary Hankel operators Semiclassical analysis Rotation set Controllability Integrable systems Analyse semi-classique Viscosity solutions First order Hamilton-Jacobi equations Hypoellipticity Mean field limit Composites Wigner measures Elasticity Spectrum Spectral asymptotics Normal form Bilinear control Nelson model Dispersion Abbreviated action integral Coherent states Navier-Stokes equations H-convergence Degenerate elliptic equations 35Q55 Heisenberg group Drift Pseudodifferential operators Dispersion relations Asymptotic expansion Oscillations Quantization Gevrey regularity Dynamical system Nonlinear Schrödinger equation Partial differential equations Vlasov equation Exact controllability Asymptotic stability Asymptotics 37C10 Schrödinger-Poisson system Schrödinger equation Vortex patches Self-similar domain WKB expansion Eigenvalues Conductivity Null-controllability Nonlinear instability Pseudo-differential operators Semiclassical limit Hamilton-Jacobi equations Scattering Invariant measure Symplectic geometry Critical Besov spaces Born-Oppenheimer approximation Magnetic Laplacian Analyse microlocale Nonlinear geometric optics Asymptotic lattice Semi-classical analysis Homogenization Stability Continuity equation Exponentially small eigenvalues Electric field Équations aux dérivées partielles Dynamical systems Agmon estimates Besov spaces Spectral theory Mean Field Games Bifurcation Classical limit Normal forms Internal waves Characteristic variety Spectral analysis