Homogeneous $$(\alpha ,k)$$(α,k)-Polynomial Solutions of the Fractional Riesz System in Hyperbolic Space
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0666-4
Abstract: In this paper we study the fractional analogous of the Laplace–Beltrami equation and the hyperbolic Riesz system studied previously by H. Leutwiler, in $${\mathbb {R}}^3$$R3. In both cases we replace the integer derivatives by Caputo… read more here.
Keywords: polynomial solutions; fractional riesz; riesz system; solutions fractional ... See more keywords
Global relaxation to the fractional porous medium equation from the pressureless Euler–Riesz system
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
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