Raphaël Danchin

Université Paris-Est Créteil — France

Mathematics · Physical Sciences

40h-index9.0kcitations178works1.22yr avg
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Research Topics

Navier-Stokes equation solutions(142), Advanced Mathematical Physics Problems(117), Computational Fluid Dynamics and Aerodynamics(43), Stability and Controllability of Differential Equations(40), Fluid Dynamics and Turbulent Flows(21)

Publications178 total

An elementary approach to the pressureless Euler-Navier-Stokes system
ArXiv.org·2026Open Access
An elementary approach to the pressureless Euler-Navier-Stokes system
arXiv (Cornell University)·2026Open Access
Local well-posedness in the critical regularity setting for hyperbolic systems with partial diffusion
Advances in Differential Equations·2026
Large‐time asymptotics of periodic two‐dimensional Vlasov–Navier–Stokes flows
Journal of the London Mathematical Society·2026
Global existence for multi-dimensional partially diffusive systems
Journal of Differential Equations·2025Open Access
Free Boundary Problems via Da Prato–Grisvard Theory
Memoirs of the American Mathematical Society·2025· 8 cited
Global well-posedness for two-dimensional inhomogeneous viscous flows with rough data via dynamic interpolation
Analysis & PDE·2025· 4 cited
On the decay and Gevrey regularity of the solutions to the Navier–Stokes equations in general two-dimensional domains
Annales de la faculté des sciences de Toulouse Mathématiques·2025Open Access
Large-time asymptotics of periodic two-dimensional Vlasov-Navier-Stokes flows
arXiv (Cornell University)·2025Open Access
Global existence for multi-dimensional partially diffusive systems
arXiv (Cornell University)·2025Open Access
Global Existence  for Multi-Dimensional Partially Diffusive Systems
SSRN Electronic Journal·2025Open Access
Local well-posedness in the critical regularity setting for hyperbolic systems with partial diffusion
arXiv (Cornell University)·2024Open Access
Local existence for systems of conservation laws withpartial diffusion.
SPIRE - Sciences Po Institutional REpository·2024Open Access
The compressible Euler system with nonlocal pressure: global existence and relaxation
Calculus of Variations and Partial Differential Equations·2024· 4 cited
Fujita-Kato Solutions and Optimal Time Decay for the Vlasov-Navier-Stokes System in the Whole Space
arXiv (Cornell University)·2024· 1 citedOpen Access
Global well-posedness for 2D inhomogeneous viscous flows with rough data via dynamic interpolation
arXiv (Cornell University)·2024· 1 citedOpen Access
Exponential decay for inhomogeneous viscous flows on the torus
Zeitschrift für angewandte Mathematik und Physik·2024· 2 cited
Global solutions for two-dimensional viscous pressureless flows with large variations of density
Probability and Mathematical Physics·2024· 2 citedOpen Access
The compressible Euler system with nonlocal pressure: Global existence and relaxation
arXiv (Cornell University)·2023· 1 citedOpen Access
Exponential decay results for compressible viscous flows with vacuum
arXiv (Cornell University)·2023Open Access
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Frequent Co-authors

Piotr B. Mucha(5), Marius Paicu(4), Sylvie Benzoni-Gavage(3), Stéphane Descombes(3), Timothée Crin-Barat(3), Hajer Bahouri(1), Jean-Yves Chemin(1), Benoı̂t Desjardins(1), Frédéric Charve(1), Jiang Xu(1), Rémi Carles(1), Jean‐Claude Saut(1), Ling-Bing He(1), Didier Jamet(1), Noboru Chikami(1), Francesco Fanelli(1), Hammadi Abidi(1), Ping Zhang(1), Xin Zhang(1), Shan Wang(1)