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On the quantum Boltzmann equation near Maxwellian and vacuum

https://doi.org/10.1016/j.jde.2022.01.056

Ouyang, Zhimeng ; Wu, Lei ( April 2022 , Journal of Differential Equations)

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Hydrodynamic Limit of 3dimensional Evolutionary Boltzmann Equation in Convex Domains

https://doi.org/10.1137/20M1375735

Wu, Lei ; Ouyang, Zhimeng ( April 2022 , SIAM Journal on Mathematical Analysis)

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Diffusive Limit of Transport Equation in 3D Convex Domains

https://doi.org/10.1007/s42543-020-00032-4

Wu, Lei ( July 2021 , Peking Mathematical Journal)
null (Ed.)
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Boundary layer of the Boltzmann equation in 2-dimensional convex domains

https://doi.org/10.2140/apde.2021.14.1363

Wu, Lei ( January 2021 , Analysis & PDE)
null (Ed.)
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Dynamics and stability of sessile drops with contact points

https://doi.org/10.1016/j.jde.2020.10.012

Tice, Ian ; Wu, Lei ( January 2021 , Journal of Differential Equations)
null (Ed.)
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Boundary Layer of Transport Equation with In-Flow Boundary

https://doi.org/10.1007/s00205-019-01461-x

Wu, Lei ( March 2020 , Archive for Rational Mechanics and Analysis)

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Dynamics and Stability of Surface Waves with Bulk-Soluble Surfactants

https://doi.org/10.1007/s10440-018-0203-0

Tice, Ian ; Wu, Lei ( June 2019 , Acta Applicandae Mathematicae)

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Asymptotic analysis of unsteady neutron transport equation

https://doi.org/10.1002/mma.5531

Wu, Lei ( March 2019 , Mathematical Methods in the Applied Sciences)

Consider the unsteady neutron transport equation with diffusive boundary condition in 2D convex domains. We establish the diffusive limit with both initial layer and boundary layer corrections. The major difficulty is the lack of regularity in the boundary layer with geometric correction. Our contribution relies on a detailed analysis of asymptotic expansions inspired by the compatibility condition and an intricateL^2m − L^∞framework, which yields stronger remainder estimates.

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