Scholarlink

<p>We prove the existence of non-negative measure and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math></EquationSource> </InlineEquation>-valued vorticity solutions to the stochastic 2D Euler equations in the vorticity form with the transport type noise, starting from any non-negative vortex sheet. This extends the result by Delort (J. Amer.Math. Soc. 4(3), 553–586, 1991) to the stochastic case.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence for stochastic 2D Euler equations with positive \(H^{-1}\) vorticity

  • 期刊论文

  • 发表日期：

    2026年4月20日

查看全文
  • Zdzisław Brzeźniak,
  • Mario Maurelli

摘要

We prove the existence of non-negative measure and \(H^{-1}\) H - 1 -valued vorticity solutions to the stochastic 2D Euler equations in the vorticity form with the transport type noise, starting from any non-negative vortex sheet. This extends the result by Delort (J. Amer.Math. Soc. 4(3), 553–586, 1991) to the stochastic case.