Publications (7) Aythami Bethencourt de León publications

2024

  1. A geometric extension of the Itô-Wentzell and Kunita's formulas

    Stochastic Processes and their Applications, Vol. 172

  2. Transport noise restores uniqueness and prevents blow-up in geometric transport equations

    Stochastics and Partial Differential Equations: Analysis and Computations

2020

  1. Implications of Kunita–Itô–Wentzell Formula for k-Forms in Stochastic Fluid Dynamics

    Journal of Nonlinear Science, Vol. 30, Núm. 4, pp. 1421-1454

  2. Modelling the Climate and Weather of a 2D Lagrangian-Averaged Euler–Boussinesq Equation with Transport Noise

    Journal of Statistical Physics, Vol. 179, Núm. 5-6, pp. 1267-1303

  3. On the Well-Posedness of Stochastic Boussinesq Equations with Transport Noise

    Journal of Nonlinear Science, Vol. 30, Núm. 1, pp. 175-224

2019

  1. Stability, well-posedness and blow-up criterion for the Incompressible Slice Model

    Physica D: Nonlinear Phenomena, Vol. 392, pp. 99-118

  2. The Burgers’ equation with stochastic transport: shock formation, local and global existence of smooth solutions

    Nonlinear Differential Equations and Applications, Vol. 26, Núm. 6