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20222026
most citedQuantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

1 citations · 1 across the 9 of their papers we have counts for

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math.AP2024

The Muskat problem with a large slope

Yiran Xu, Stephen Cameron, Ke Chen +2

In this paper, we establish local well-posedness results for the Muskat equation in any dimension using modulus of continuity techniques. By introducing a novel quantity \(β_σ(f_0'…

math.AP2024★ 1 cited

Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

Ruilin Hu, Phuoc-Tai Nguyen, Quoc-Hung Nguyen +1

Building on Tao's quantitative regularity theory and triple-logarithmic blow-up estimate in in \cite{Tao_20}, we consider classical solutions of the three-dimensional…

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 in where $Λ=(-Δ)^{…