Ensemble lattice Boltzmann simulations of a Mach 2000 jet show the empirical probability measure converging in Wasserstein distance at rate 0.5 while sample-wise L1 errors diverge, providing evidence for a non-Dirac stable statistical solution.
10.4007/annals.2009.170.1417
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Establishes non-uniqueness of weak solutions for hypo-dissipative compressible 3D MHD with α1,α2 in (0,1) and vanishing viscosity limit to ideal MHD Hölder solutions.
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Computing statistical solutions of a Mach 2000 astrophysical jet
Ensemble lattice Boltzmann simulations of a Mach 2000 jet show the empirical probability measure converging in Wasserstein distance at rate 0.5 while sample-wise L1 errors diverge, providing evidence for a non-Dirac stable statistical solution.
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Non-uniqueness for the hypo-dissipative compressible 3D magnetohydrodynamic equations
Establishes non-uniqueness of weak solutions for hypo-dissipative compressible 3D MHD with α1,α2 in (0,1) and vanishing viscosity limit to ideal MHD Hölder solutions.