Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
The authors consider a Log improvement of Prodi-Serrin criterion for global regularity solutions to Navier-Stokes equations in the space, provided the exponents in the Prodi-Serrin criterion are equal to five. The conclusion is that any weak solution to the system satisfying appropriate hypothesis must be smooth for any time and location.
scientific article