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<p>By making use of an adaption of Arnold variational principle [4], we construct a family of vortex patches of the inviscid, incompressible steady flow in a finite channel <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb{T}\times[0,1]\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="double-struck">T</mi> </mrow> <mo>×</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">]</mo> </math></EquationSource> </InlineEquation>.</p>

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Vortex patches for the Euler equations in a finite channel

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Xinyao Wang,
  • Xiaohuan Wang

摘要

By making use of an adaption of Arnold variational principle [4], we construct a family of vortex patches of the inviscid, incompressible steady flow in a finite channel \(\mathbb{T}\times[0,1]\) T × [ 0 , 1 ] .