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  <title>Fluid dynamics — qed.bot</title>
  <subtitle>Claims, announcements and changes across Fluid dynamics.</subtitle>
  <link href="https://qed.bot/feeds/collections/fluid-dynamics.xml" rel="self"/>
  <link href="https://qed.bot/register?collection=Fluid%20dynamics"/>
  <id>https://qed.bot/feeds/collections/fluid-dynamics.xml</id>
  <updated>2026-09-27T08:37:38Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Full resolution claimed: Finite-time blowup for the incompressible porous media equation with smooth forcing</title>
    <link href="https://qed.bot/s/pde-porousmediasmoothforcingblowup"/>
    <id>urn:qed:change:claim:0ccd14772447</id>
    <updated>2026-09-27T08:37:38Z</updated>
    <summary>Claude, GPT-5.6 Sol and GPT-6 Astra: Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa&#39;s result with a spatially smooth force. Autonomy A1, evidence V1.</summary>
  </entry>
  <entry>
    <title>Full resolution claimed: Finite-time blowup for the 3D incompressible Euler equations with smooth forcing</title>
    <link href="https://qed.bot/s/pde-eulersmoothforcingblowup"/>
    <id>urn:qed:change:claim:58935e97737d</id>
    <updated>2026-09-27T08:37:38Z</updated>
    <summary>Claude, GPT-5.6 Sol and GPT-6 Astra: A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time. Autonomy A1, evidence V1.</summary>
  </entry>
  <entry>
    <title>New announcement: Finite-time blowup with smooth forcing for porous media, Boussinesq and Euler</title>
    <link href="https://qed.bot/https://qed.bot/activity#announcements"/>
    <id>urn:qed:change:announcement:buckmaster-alpoge-2026-09-07</id>
    <updated>2026-09-27T08:37:38Z</updated>
    <summary>Tristan Buckmaster and Levent Alpöge claims three blowup results with smooth forcing, and blowup for hypodissipative Navier–Stokes held back until its Lean verification finishes. 4 identified, 0 with a checkable artifact.</summary>
  </entry>
  <entry>
    <title>Full resolution claimed: Finite-time blowup for the inviscid Boussinesq equations with smooth forcing</title>
    <link href="https://qed.bot/s/pde-boussinesqsmoothforcingblowup"/>
    <id>urn:qed:change:claim:3edb0739c066</id>
    <updated>2026-09-27T08:37:38Z</updated>
    <summary>Claude, GPT-5.6 Sol and GPT-6 Astra: Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up. Autonomy A1, evidence V1.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the incompressible porous media equation with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-porousmediasmoothforcingblowup"/>
    <id>urn:qed:0ccd14772447</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa&#39;s result with a spatially smooth force.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Tristan Buckmaster and Levent Alpöge: Finite-time blowup with smooth forcing for porous media, Boussinesq and Euler</title>
    <link href="https://qed.bot/a/buckmaster-alpoge-2026-09-07"/>
    <id>urn:qed:announcement:buckmaster-alpoge-2026-09-07</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Claims three blowup results with smooth forcing, and blowup for hypodissipative Navier–Stokes held back until its Lean verification finishes. Disclosure D1: 4 of 4 identified, 0 checkable.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the 3D incompressible Euler equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-eulersmoothforcingblowup"/>
    <id>urn:qed:58935e97737d</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the inviscid Boussinesq equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-boussinesqsmoothforcingblowup"/>
    <id>urn:qed:3edb0739c066</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
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