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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Establishes a solution theory for the slender body free boundary problem of an inextensible closed elastic filament in Stokes flow via the Neumann-to-Dirichlet map and tension enforcement.
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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.
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The slender body free boundary problem
Establishes a solution theory for the slender body free boundary problem of an inextensible closed elastic filament in Stokes flow via the Neumann-to-Dirichlet map and tension enforcement.