A solution to parabolic system with the fractional Laplacian

DOI10.1007/s11766-009-2084-5zbMath1199.35137OpenAlexW1967742607MaRDI QIDQ846805

Daoyuan Fang, Lin Fang

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2084-5

zbMATH Keywords

decay ratefractional Laplacianparabolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Integration by parts formula for regional fractional Laplacian
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Chaotic behavior of solutions of the Navier-Stokes system in \(\mathbb R^N \)
• Ekman layers of rotating fluids, the case of well prepared initial data
• A Uniqueness Result for the Navier--Stokes Equations with Vanishing Vertical Viscosity
• Fluids with anisotropic viscosity
• Stochastic Problems in Physics and Astronomy
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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