94 citations · 133 across the 14 of their papers we have counts for
16 papers
Global regularity and decay estimates for the relativistic Landau equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea +1
We consider the relativistic Landau equation in the spatially inhomogeneous, far-from-equilibrium regime. We establish regularity estimates of all orders, implying that solutions r…
Mathematical model for collective migration on a viscoelastic collagen network
Nicolas Meunier, Andrei Tarfulea
In this paper, we study a model of self-generated directional cell migration on viscoelastic substrates in the absence of apparent intrinsic polarity. This model, first proposed in…
Decay estimates and continuation for the non-cutoff Boltzmann equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the non-cutoff Boltzmann equation in the spatially inhomogeneous, soft potentials regime, and establish decay estimates for large velocity. In particular, we prove that…
Classical solutions of the Boltzmann equation with irregular initial data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
This article considers the spatially inhomogeneous, non-cutoff Boltzmann equation. We construct a large-data classical solution given bounded, measurable initial data with uniform…
Global existence of strong solution to non-isothermal ideal gas system
Bin Han, Ning-An Lai, Andrei Tarfulea
This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space $H^2(\mathbb{R}^…
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…