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In this paper we address the Cauchy problem for the incompressible Euler equations in the periodic setting.
C 1 C^{1} isometric imbeddings
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Deterministic Turbulence
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An inviscid flow with compact support in space-time
Scheffer, V · 1993
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Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models
Lions, P.-L · 1996
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On the nonuniqueness of weak solution of the Euler equation
Shnirelman, A. I · 1997
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Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
Duchon, J., and Robert, R · 2000
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The Euler equations as a differential inclusion
De Lellis, C., and Székelyhidi Jr, L · 2009
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Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations
Bardos, C., and Titi, E. S · 2010
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On Admissibility Criteria for Weak Solutions of the Euler Equations
De Lellis, C., and Székelyhidi Jr, L · 2010
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Weak-strong uniqueness for measure-valued solutions
Brenier, Y., De Lellis, C., and Székelyhidi Jr, L · 2011
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h-Principles for the Incompressible Euler Equations
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Dissipative continuous Euler flows
De Lellis, C., and Székelyhidi Jr, L · 2013
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Dissipative Euler flows and Onsager’s conjecture
De Lellis, C., and Székelyhidi Jr, L · 2014
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From Isometric Embeddings to Turbulence
Székelyhidi Jr, L · 2014
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The h-principle and turbulence
Székelyhidi Jr, L · 2014
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Anomalous dissipation for 1/5-Hölder Euler flows
Buckmaster, T., De Lellis, C., Isett, P., and Székelyhidi Jr, L · 2015
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On h h -principle and Onsager’s conjecture
De Lellis, C., and Székelyhidi, L · 2015
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On nonperiodic Euler flows with Hölder regularity
Isett, P., and Oh, S.-J · 2016
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Weak solutions of the Euler equations: non-uniqueness and dissipation
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Hölder continuous Euler flows with compact support in time
Isett, P · 2013
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Cauchy Problem for Dissipative Hölder Solutions to the Incompressible Euler Equations
Daneri, S · 2014
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Székelyhidi Jr, L · 2016
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