27 citations · 195 across the 25 of their papers we have counts for
4 papers · 1 filter
Small inertia regularization of an anisotropic aggregation model
Joep H. M. Evers, Razvan C. Fetecau, Weiran Sun
We consider an anisotropic first-order ODE aggregation model and its approximation by a second-order relaxation system. The relaxation model contains a small parameter $\varepsilon…
Fractional Diffusion Limits of Non-Classical Transport Equations
Martin Frank, Weiran Sun
We establish asymptotic diffusion limits of the non-classical transport equation derived in [E. W. Larsen, A generalized Boltzmann equation for non-classical particle transport, Jo…
Validity and regularization of classical half-space equations
Qin Li, Jianfeng Lu, Weiran Sun
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the cor…
Macroscopic limits of pathway-based kinetic models for E.coli chemotaxis in large gradient environments
Weiran Sun, Min Tang
It is of great biological interest to understand the molecular origins of chemotactic behavior of E. coli by developing population-level models based on the underlying signaling pa…