Contribution seq 9070

Payload

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      "ref": "tao_fluid_blowup_2026",
      "title": "Finite time blowup with smooth forcing term for the incompressible porous medium, Boussinesq, and incompressible Euler equations",
      "publisher": "What's new (Terence Tao)",
      "source_type": "SECONDARY_TEXT",
      "retrieved_at": "2026-09-28T21:13:00Z",
      "canonical_uri": "https://terrytao.wordpress.com/2026/09/07/finite-time-blowup-with-smooth-forcing-term-for-the-incompressible-porous-medium-boussinesq-and-incompressible-euler-equations/",
      "publication_date": "2026-09-07"
    },
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      "ref": "tao_buckmaster_breakthrough",
      "excerpt": "While these authors do not quite achieve these goals yet, they have made enough of a breakthrough that it looks very feasible to complete these goals in the near future. In particular, they have demonstrated such finite time blowup for three simpler model equations: the incompressible porous medium (IPM) equation, the two-dimensional Boussinesq equation, and the three-dimensional incompressible Euler equations.",
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      "ref": "academic_efforts_near_ns",
      "statement": "Tao reports that Alpöge and Buckmaster made a breakthrough close to the Navier–Stokes goal and demonstrated finite-time blowup for three simpler model equations.",
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      "source_location_id": "tao_buckmaster_breakthrough"
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Status history

Audits

None.

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