2000 character limit reached
Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport (2106.12435v4)
Published 23 Jun 2021 in math.NA and cs.NA
Abstract: We introduce dissipative solutions to the compressible Navier-Stokes system with potential temperature transport motivated by the concept of Young measures. We prove their global-in-time existence by means of convergence analysis of a mixed finite element-finite volume method. If a classical solution to the compressible Navier-Stokes system with potential temperature transport exists, we prove the strong convergence of numerical solutions. Our results hold for the full range of adiabatic indices including the physically relevant cases in which the existence of global-in-time weak solutions is open.