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math.AP2025
Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems
Xushan Huang, Hobin Lee, HyeonSeop Oh
We investigate the time-asymptotic stability of solutions to the one-dimensional Navier-Stokes-Fourier system in the half-space, focusing on the outflow and impermeable wall proble…
math.AP2025
Time-asymptotic stability of composite wave of viscous shocks and viscous contact wave for Navier-Stokes-Fourier equations
Xushan Huang, Hobin Lee
We investigate the nonlinear time-asymptotic stability of the composite wave consisting of two viscous shocks and a viscous contact discontinuity for the one-dimensional compressib…