Carl J. P. Johansson

I am a PhD student at EPFL, in the AMCV research group, headed by Prof. Maria Colombo.

My research focuses on PDEs and more precisely equations in Fluid dynamics.

I'm primarily working on mixing, enhanced and anomalous dissipation for the transport and advection-diffusion equation.
I have also worked on classical Lipschitz convex integration.

• Anomalous dissipation via spontaneous stochasticity with a two-dimensional autonomous velocity field,

  Carl J. P. Johansson, Massimo Sorella

  Submitted, available at arXiv.




• Dissipation enhancing properties for a class of Hamiltonian flows with closed streamlines,

  Michele Dolce, Carl J. P. Johansson, Massimo Sorella

  Submitted, available at arXiv.




• Nontrivial absolutely continuous part of anomalous dissipation measures in time,

  Carl J. P. Johansson, Massimo Sorella

  Submitted, available at arXiv.




• Wild solutions to scalar Euler-Lagrange equations,

  Carl J. P. Johansson

  Tran. Amer. Math. Soc. (2024)

  Author's Accepted Manuscript available on arXiv




• T5 configurations and hyperbolic systems,

  Carl J. P. Johansson, Riccardo Tione

  Comm. Cont. Math. (2023)

  Author's Accepted Manuscript available on arXiv

• Master Thesis: Nonsmooth and nonenergetic solutions of PDE’s through convex integration