Browsing by Author "1e48c6de-4bad-4174-8c90-5058e388f2bf"

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    • Gluing methods for vortex dynamics in euler flows 
      Dávila, Juan; Pino Manresa, Manuel del; Musso, Mónica; Wei, Juncheng (Springer, 2020)
      A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain is that of finding regular solutions with highly concentrated vorticities around N moving vortices. The formal ...
    • Green's function and infinite-time bubbling in the critical nonlinear heat equation 
      Cortázar, Carmen; Pino Manresa, Manuel del; Musso, Mónica (European Mathematical Society, 2020)
      Let Omega be a smooth bounded domain in R-n, n >= 5. We consider the classical semilinear heat equation at the critical Sobolev exponent. ut =Delta u + un+2/n-2 in Omega x (0, infinity), u = 0 on partial derivative Omega ...
    • Interface dynamics in semilinear wave equations 
      Pino Manresa, Manuel del; Jerrard, Robert L.; Musso, Mónica (Springer, 2020)
      We consider the wave equation epsilon(2)(-partial derivative(2)(t) + Delta)u + f(u) = 0 for 0 < epsilon << 1, where f is the derivative of a balanced, double-well potential, the model case being f(u) = u - u(3). For equations ...