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• W2034160189 abstract "We present a unique global solvability and flocking estimate of an entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation in all-to-all coupling setting. This model appears naturally as a quasi-equilibrium model for hydrodynamic description of Cucker–Smale flocking. For the unique global solvability, we adopt the variation approach from Ding and Huang's work [19] on the inhomogeneous pressureless gas dynamic model. When initial mass and velocity are locally integrable and bounded measurable functions, respectively, we give explicit representations for the global entropic weak solutions. Our results do not require any smallness of initial data except that initial mass density is almost everywhere positive." @default.
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• W2034160189 date "2014-09-01" @default.
• W2034160189 modified "2023-10-07" @default.
• W2034160189 title "A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation" @default.
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• W2034160189 doi "https://doi.org/10.1016/j.jde.2014.05.007" @default.
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