Global existence and stability of classical solutions for the 2D non-resistive compressible MHD system near equilibrium is shown via pure H^s estimates and a novel pseudo-negative-derivative technique that closes the estimates without extra initial data regularity.
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No large first-threshold packet can occur in the 3D Navier-Stokes system, so the critical envelope remains bounded and global regularity holds for large data.
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Global existence and stability of solutions for the 2D non-resistive compressible MHD system
Global existence and stability of classical solutions for the 2D non-resistive compressible MHD system near equilibrium is shown via pure H^s estimates and a novel pseudo-negative-derivative technique that closes the estimates without extra initial data regularity.
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Large-Data Global Regularity for Three-Dimensional Navier--Stokes II: A Direct First-Threshold Continuation Proof for the Full System
No large first-threshold packet can occur in the 3D Navier-Stokes system, so the critical envelope remains bounded and global regularity holds for large data.