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Published June 2009 | metadata_only
Book Section - Chapter

Introduction to the Theory of Incompressible Inviscid Flows


In this chapter, we consider the 3D incompressible Euler equations. We present classical and recent results on the issue of global existence/finite time singularity. We also introduce the theories of lower dimensional model equations of the 3D Euler equations and the vortex patch problem.

Additional Information

© 2009 World Scientific Publishing Co Pte Ltd. The first author is partly supported by an NSF grant DMS-0713670 and an FRG grant DMS-0353838. The second author is partly supported by an NSF grant DMS-0354488.

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August 20, 2023
August 20, 2023