2 problems

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Wang's sharp low-regularity local well-posedness conjecture for compressible Euler flow
Wang's sharp local well-posedness conjecture. The sharp local well-posedness results would hold for initial data satisfying
Conjectureopencompressible-euler low-regularity-pde well-posednessarXiv posted 2 days ago
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Global well-posedness for KdV below the $H^{-3/4}(\mathbb{R})$ threshold
Let … should also hold far beyond $H^{-3/4}(\mathbb{R})$ and could be achieved by a suitable extension of the inverse scattering transform method for $\mathbb{L}_{q}$ . This would e…
Conjectureopeninverse-scattering kdv-equation low-regularity-pdearXiv posted 2 days ago

Wang's sharp low-regularity local well-posedness conjecture for compressible Euler flow