Well-posedness for the viscous shallow water equations in critical spaces

Changxing Miao; Qionglei Chen; Zhifei Zhang

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arxiv math/0606081 v3 pith:HXIEXRYX submitted 2006-06-04 math.AP

Well-posedness for the viscous shallow water equations in critical spaces

Qionglei Chen , Changxing Miao , Zhifei Zhang This is my paper

classification math.AP

keywords equationsinitialshallowviscouswaterassumptionsawaybounded

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In this paper, we prove the existence and uniqueness of the solutions for the 2D viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.

Well-posedness for the viscous shallow water equations in critical spaces

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