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math.AP2025
Global existence for multi-dimensional partially diffusive systems
Jean-Paul Adogbo, Raphäel Danchin
In this work, we explore the global existence of strong solutions for a class of partially diffusive hyperbolic systems within the framework of critical homogeneous Besov spaces. O…
math.AP2022★ 2 cited
Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit
Timothée Crin-Barat, Raphaël Danchin
Here we investigate global strong solutions for a class of partially dissipative hyperbolic systems in the framework of critical homogeneous Besov spaces. Our primary goal is to ex…
math.AP2022
Critical regularity issues for the compressible Navier--Stokes system in bounded domains
Raphaël Danchin, Patrick Tolksdorf
We are concerned with the barotropic compressible Navier-Stokes system in a bounded domain of (with ). In a critical regularity setting, we establish local w…