Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications
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Publication:2136866
DOI10.2140/paa.2022.4.85zbMath1489.35193arXiv2101.05491OpenAlexW3120579805WikidataQ115497262 ScholiaQ115497262MaRDI QIDQ2136866
Timothée Crin-Barat, Raphaël Danchin
Publication date: 16 May 2022
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05491
Smoothness and regularity of solutions to PDEs (35B65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Strong solutions to PDEs (35D35)
Related Items (10)
Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case ⋮ The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model ⋮ A remark on the multi-dimensional compressible Euler system with damping in the 𝐿^{𝑝} critical Besov spaces ⋮ Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System ⋮ Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit ⋮ Pressure-relaxation limit for a one-velocity Baer–Nunziato model to a Kapila model ⋮ Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation ⋮ Well-posedness for the one-dimensional inviscid Cattaneo-Christov system ⋮ Partially dissipative systems in the critical regularity setting, and strong relaxation limit ⋮ Diffusive relaxation limit of the multi-dimensional Jin-Xin system
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