Global solutions with heat-like decay and Gevrey regularity propagation are proven for the Boltzmann equation in half-space with zero Mach number at infinity.
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Local well-posedness is shown for compressible boundary layer equations in Gevrey-2 tangential and Sobolev normal regularity via auxiliary functions and cancellations.
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Half-space problem on the Boltzmann equation with zero Mach number at infinity
Global solutions with heat-like decay and Gevrey regularity propagation are proven for the Boltzmann equation in half-space with zero Mach number at infinity.
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Well-posedness of the compressible boundary layer equations with data in the Gevrey class
Local well-posedness is shown for compressible boundary layer equations in Gevrey-2 tangential and Sobolev normal regularity via auxiliary functions and cancellations.