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math.AP2020★ 1 cited
Positivity of temperature for some non-isothermal fluid models
Ning-An Lai, Chun Liu, Andrei Tarfulea
We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relati…
math.AP2020
Self-generating lower bounds and continuation for the Boltzmann equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
For the spatially inhomogeneous, non-cutoff Boltzmann equation posed in the whole space , we establish pointwise lower bounds that appear instantaneously even if the…