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<p>In this paper, we study the problem of energy equality for weak solutions of the 3D incompressible Navier–Stokes–Maxwell equations with initial value conditions. We get new sufficient conditions by means of the Sobolev multiplier spaces, which guarantee the establishment of the energy equality. And the aforementioned energy equality is often associated with the uniqueness of weak solutions of the Navier–Stokes–Maxwell equations.</p>

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Energy equality for the Navier–Stokes–Maxwell equations

  • 期刊论文

  • 发表日期：

    2026年3月21日

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  • Yi Feng,
  • Weihua Wang

摘要

In this paper, we study the problem of energy equality for weak solutions of the 3D incompressible Navier–Stokes–Maxwell equations with initial value conditions. We get new sufficient conditions by means of the Sobolev multiplier spaces, which guarantee the establishment of the energy equality. And the aforementioned energy equality is often associated with the uniqueness of weak solutions of the Navier–Stokes–Maxwell equations.