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9 papers · 2 filters
Cancellation conditions and boundedness of Inhomogeneous Calderón-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type
Joel Coacalle, Tiago Picon, Claudio Vasconcelos
In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón-Zygmund type operators on local Hardy spaces defined over spaces of homoge…
Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data
Patrick Gérard, Enno Lenzmann
We study the energy-critical half-wave maps equation: \[ \partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} \] for . O…
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…
Convergence of layer potentials and Riemann-Hilbert problem on extension domains
Gabriel Claret, Anna Rozanova-Pierrat, Alexander Teplyaev
We prove the convergence of layer potential operators for the harmonic transmission problem over a sequence of converging two-sided extension domains. Consequently, the Neumann-Poi…
On regularity of solutions to the Navier--Stokes equation with initial data in
Hedong Hou
We prove that any mild solution in the Koch--Tataru space to the incompressible Navier--Stokes equation with initial data in is weak*-continuous in time, valued…
One-dimensional Carrollian fluids II: blow-up criteria
Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz +1
The Carrollian fluid equations arise from the equations for relativistic fluids in the limit as the speed of light vanishes, and have recently experienced a surge of interest in th…