Partial Differential Equations: Waves, Nonlinearities and Nonlocalities

1 Paralinearization of free boundary problems in fluid dynamics.- 2 Stable stratospheric flows.- 3 Nonlinear forward-backward problems.- 4 The Benjamin–Ono equation on the line: Explicit formula and small dispersion limit.- 5 Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem.- 6 Incompressible limit of porous media equation with chemotaxis and growth.- 7 On a quasi-resonant nonlinear Schrödinger equation on irrational tori.- 8 The global well-posedness conjecture for 1D cubic dispersive equations.- 9 Regularity of trajectories and smooth observables in rough Euler flows.-10 On continuous time bubbling for the harmonic map heat flow in two dimensions.- 11 A Short Primer on the Calogero–Moser Derivative NLS.- 12 Area Variations under pointwise Lagrangian and Legendrian Constraints.- 13 Wave Turbulence: A statistical theory of weakly nonlinear dispersive waves.- 14 Well-posedness and long time behavior of the Euler Alignment System with adaptive communication strength.- 15 The quartic integrability and long time existence of water waves in 2D.