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Author

Timothée Crin-Barat

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Preprint Sep 2026

Long-time dynamics of partially dissipative hyperbolic systems with non-autonomous coefficients

We study quasilinear symmetrizable partially dissipative hyperbolic systems with non-autonomous relaxation coefficients in $\mathbb{R}^d$ ($d\geq1$). The existence of global strong solutions is established in a critical regularity setting for systems satisfying the so-called Shizuta-Kawashima (SK) and entropy condition...

Timothée Crin-Barat, Ling-Yun Shou, Qi-Meng Zhu · 0 citations
Preprint Jul 2026

On the decay estimates of a nonlocal convection-diffusion Hamer system

We consider the multi-dimensional Hamer model for radiating gases in its coupled hyperbolic--elliptic formulation. By means of energy estimates, we establish the global well-posedness for small initial data in hybrid Besov spaces with distinct regularity exponents at low and high frequencies. This framework enables us...

Timothée Crin-Barat, B. Said-Houari · 0 citations

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