Ruilin Hu

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math.AP2024

Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

We establish a Schauder-type estimate for general local and non-local linear parabolic system $\partial_{t} u + L_{s} u = Λ^{γ} f + g$ in $(0, \infty) \times R^{d}$ where $Λ=(-Δ)^{…

math.AP2022

Local well-posedness of the $1 d$ compressible Navier-Stokes system with rough data

Ke Chen, Ruilin Hu, Quoc-Hung Nguyen

This paper presents a new approach to the local well-posedness of the $1 d$ compressible Navier-Stokes systems with rough initial data. Our approach is based on establishing some sm…

Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Local well-posedness of the 1d compressible Navier-Stokes system with rough data

Local well-posedness of the $1 d$ compressible Navier-Stokes system with rough data