Global relaxation to the fractional porous medium equation from the pressureless Euler–Riesz system
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DOI: 10.1063/5.0249603
Abstract: In this paper, we justify the validity of global-in-time convergence rigorously from the pressureless relaxed Euler-Riesz system to the frictional porous medium model in Rd (d ≥ 1). For initial data close to a constant… read more here.
Keywords: riesz system; euler riesz; porous medium;
Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
Sign Up to like & getrecommendations! Published in 2024 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/9600
Abstract: This paper investigates the global dynamics of the Euler–Riesz system in three dimensions, focusing on the well-posedness and large-time behavior of solutions near equilibrium. The system generalizes classical interactions by incorporating the Riesz interactions ∇… read more here.
Keywords: system; riesz system; system three; global smooth ... See more keywords