Classical solutions for fractional porous medium flow

2021/02/03 by Young-Pil Choi, In-Jee Jeong, Choi, Young-Pil +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2102.01816

openalex publication_date 2021/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the fractional porous medium flow introduced by Caffarelli-Vazquez and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators.

Citations

• Nonstationary flows of viscous and ideal fluids in R3

Cited by

• A sharp commutator estimate for all Riesz modulated energies

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