The Uniqueness of Nondecaying Solutions for the Navier-Stokes Equations |
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Authors: | Email author" target="_blank">Jun?KatoEmail author |
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Institution: | (1) Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan |
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Abstract: | The uniqueness of solutions of the Navier-Stokes equations in the whole space is established when the velocity field is bounded and the pressure field is a BMO-valued locally integrable-in-time function for bounded initial data. Here the velocity field may not decay at space infinity. Although there are a few results concerning uniqueness without the decay assumption, our result is new and applicable for solutions constructed by solving the integral equations. |
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