slideshow 3

Seminar on partial differential equations

Measure-valued solutions and Navier-Stokes-Fourier system

Jan Březina
Tokyo Institute of Technology

 

Tuesday, 13. March 2018 - 9:00 to 10:00

in IM, rear building, ground floor

Encouraged by the ideas and results obtained when studying measure-valued solutions for the Complete Euler system we introduce measure-valued solutions to the Navier–Stokes–Fourier system and show weak-strong uniqueness. Namely, we identify a large class of objects that we call dissipative measure–valued (DMV) solutions, in which the strong solutions are stable. That is, a (DMV) solution coincides with the strong solution emanating from the same initial data as  long as the latter exists.