4 papers · 1 filter
Global existence for viscous systems of conservation laws in framework
Jean-Paul Adogbo
In this paper, which originates from Chapter 4 of the author's PhD thesis [1, Chap. 4], we investigate the global well-posedness of a class of partially diffusive hyperbolic system…
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…
Inhomogenous Navier--Stokes equations with unbounded density
Jean-Paul Adogbo, Piotr B. Mucha, Maja Szlenk
In the current state of the art regarding the Navier--Stokes equations, the existence of unique solutions for incompressible flows in two spatial dimensions is already well-establi…
Local well-posedness in the critical regularity setting for hyperbolic systems with partial diffusion
Jean-Paul Adogbo, Raphäel Danchin
This paper is dedicated to the local existence theory of the Cauchy problem for a general class of symmetrizable hyperbolic partially diffusive systems (also called hyperbolic-para…