Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Inventiones mathematicae ◽

10.1007/s00222-014-0548-6 ◽

2014 ◽

Vol 201 (1) ◽

pp. 97-157 ◽

Author(s):

Jean Bourgain ◽

Dong Li

Keyword(s):

Euler Equation ◽

Sobolev Spaces ◽

Incompressible Euler Equation ◽

Incompressible Euler

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Variational Formulation for Incompressible Euler Equation by Weak Shape Evolution

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_27 ◽

1999 ◽

pp. 309-323 ◽

Author(s):

Jean-Paul Zolésio

Keyword(s):

Euler Equation ◽

Variational Formulation ◽

Shape Evolution ◽

Incompressible Euler Equation ◽

Incompressible Euler

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A Lower Bound on Blowup Rates for the 3D Incompressible Euler Equation and a Single Exponential Beale-Kato-Majda Type Estimate

Communications in Mathematical Physics ◽

10.1007/s00220-012-1523-y ◽

2012 ◽

Vol 314 (1) ◽

pp. 265-280 ◽

Author(s):

Thomas Chen ◽

Nataša Pavlović

Keyword(s):

Lower Bound ◽

Euler Equation ◽

Incompressible Euler Equation ◽

Type Estimate ◽

Single Exponential ◽

Incompressible Euler

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Spatial asymptotic expansions in the incompressible Euler equation

Geometric and Functional Analysis ◽

10.1007/s00039-017-0410-2 ◽

2017 ◽

Vol 27 (3) ◽

pp. 637-675

Author(s):

Robert McOwen ◽

Petar Topalov

Keyword(s):

Euler Equation ◽

Asymptotic Expansions ◽

Incompressible Euler Equation ◽

Incompressible Euler

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Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation

Wuhan University Journal of Natural Sciences ◽

10.1007/s11859-017-1212-y ◽

2017 ◽

Vol 22 (1) ◽

pp. 19-28

Author(s):

Fang Zhou

Keyword(s):

Euler Equation ◽

Three Dimensional ◽

Navier Stokes ◽

Incompressible Euler Equation ◽

Incompressible Euler

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Strong illposedness of the incompressible Euler equation in integer C m spaces

Geometric and Functional Analysis ◽

10.1007/s00039-015-0311-1 ◽

2015 ◽

Vol 25 (1) ◽

pp. 1-86 ◽

Author(s):

Jean Bourgain ◽

Dong Li

Keyword(s):

Euler Equation ◽

Incompressible Euler Equation ◽

Incompressible Euler

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High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0705-y ◽

2018 ◽

Vol 77 (1) ◽

pp. 263-282 ◽

Author(s):

Tao Xiong ◽

Giovanni Russo ◽

Jing-Mei Qiu

Keyword(s):

Euler Equation ◽

Vlasov Equation ◽

Incompressible Euler Equation ◽

Incompressible Euler

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Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-017-1262-1 ◽

2017 ◽

Vol 56 (6) ◽

Author(s):

Hugo Lavenant

Keyword(s):

Euler Equation ◽

Incompressible Euler Equation ◽

Incompressible Euler

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Gevrey regularity with weight for incompressible euler equation in the half plane

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30061-9 ◽

2017 ◽

Vol 37 (4) ◽

pp. 1115-1132 ◽

Author(s):

Feng CHENG ◽

Wei-Xi LI ◽

Chao-Jiang XU

Keyword(s):

Euler Equation ◽

Incompressible Euler Equation ◽

Gevrey Regularity ◽

Incompressible Euler

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Multiscale analysis in Lagrangian formulation for the 2-D incompressible Euler equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2005.13.1153 ◽

2005 ◽

Vol 13 (5) ◽

pp. 1153-1186 ◽

Author(s):

Thomas Y. Hou ◽

◽

Danping Yang ◽

Hongyu Ran ◽

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...

Keyword(s):

Euler Equation ◽

Multiscale Analysis ◽

Lagrangian Formulation ◽

Incompressible Euler Equation ◽

Incompressible Euler

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On a Lagrangian Formulation of the Incompressible Euler Equation

Journal of Partial Differential Equations ◽

10.4208/jpde.v29.n4.5 ◽

2016 ◽

Vol 29 (4) ◽

pp. 320-359

Author(s):

Inci Hasan

Keyword(s):

Euler Equation ◽

Lagrangian Formulation ◽

Incompressible Euler Equation ◽

Incompressible Euler

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