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On a Multi-dimensional Transport Equation with Nonlocal Velocity and Fractional Dissipation by Zhang, Wanwan is a scholarly article available to read on EtoBox.

What is On a Multi-dimensional Transport Equation with Nonlocal Velocity and Fractional Dissipation about?

This paper aims to investigate a multi-dimensional transport equation with nonlocal velocity and fractional dissipation.The balance between the nonlinearity and dissipation gives rise to three different cases, namely the subcritical, critical and supercritical ranges. We study those three cases and obtain a set of results containing local well-posedness, global smoothness, eventual regularity and finite-time blowup of smooth solutions.

Author

Zhang, Wanwan

Published

2024

Language

EN