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Global large, smooth solutions of the 2D surface quasi‐geostrophic equations

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In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity… Click to show full abstract

In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily large in spaces L∞(ℝ2) and H3(ℝ2) . This result can be seen as an improvement work of Liu et al (2019) for it's without any smallness hypothesis of the L∞(ℝ2) norm of the initial data.

Keywords: surface quasi; large smooth; smooth solutions; global large; quasi geostrophic; solutions surface

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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