On the global classical solution to compressible Euler system with singular velocity alignment

DOI10.4310/MAA.2021.v28.n2.a3MaRDI QIDQ2692570

Changhui Tan, Lining Tong, Li Chen

Publication date: 22 March 2023

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08356

zbMATH Keywords

global existenceEuler-alignment systemsingular velocity alignment

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (9)

Swarming: hydrodynamic alignment with pressure ⋮ The initial value problem for the equations of motion of fractional compressible viscous fluids ⋮ The global classical solution to compressible system with fractional viscous term ⋮ Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ From BGK-alignment model to the pressured Euler-alignment system with singular communication weights ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Finite- and infinite-time cluster formation for alignment dynamics on the real line

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