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This article is available for purchase or by subscription. See below.
Abstract
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In this paper, we consider one-dimensional fluid models with nonlocal velocity, and
establish the global well-posedness of classical solutions to such models with large
initial data in suitable Sobolev spaces.
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Keywords
one-dimensional equation, nonlocal velocity, global
well-posedness
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Mathematical Subject Classification 2010
Primary: 35B65, 35Q35, 76D03
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Milestones
Received: 2 November 2018
Revised: 28 May 2019
Accepted: 29 August 2019
Published: 12 February 2020
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