Weak-strong uniqueness for the Navier–Stokes–Poisson equations

Weak-Strong Uniqueness for Compressible Magnetohydrodynamic Equations with Coulomb Force

“…In this section, we will establish the relative entropy inequality (18) to the system (1)-( 5) and extend the admissible class of test function.…”

“…Extending the Admissible Class of Test Function. Making use of density argument, we can extend the class of test function ðr, U, Ψ, HÞ appeared in the relative entropy inequality (18), (20).…”

“…Many researchers are interested to study the compressible NSP system (see [12][13][14][15][16][17] and the references cited therein). These papers are focused on the existence and asymptotic behavior of solution et al For the weeak-strong uniqueness of the compressible Navier-Stokes-Poisson system, we have discussed in [18].…”

Weak-strong uniqueness principle for compressible barotropic self-gravitating fluids

“…Indeed, the convexity of the pressure potential P = P (̺) guarantees the non-negativity of E = E(t) for any time t ∈ [0, T ]. Moreover, if ̺, ̺ > 0, proving the weak-strong uniqueness principle is equivalent to showing that E(t) ≡ 0 for any time t ∈ [0, T ]; this is the strategy pursued by He and Tan [8] to prove the weak-strong uniqueness principle on a bounded domain Ω. For σ = −1, however, the problem gets more complicated.…”