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- W4313304811 abstract "We study fragmentation equations with power-law fragmentation rates and polynomial daughter fragments distribution function $p(s)$. The corresponding selfsimillar solutions are analysed and their exponentially decaying asymptotic behaviour and $C^{infty }$ regularity deduced. Stability of selfsimilar solutions (under smooth exponentially decaying perturbations), with sharp exponential decay rates in time are proved, as well as $C^{infty }$ regularity of solutions for $t>0$. The results are based on explicit expansion in terms of generalized Laguerre polynomials and the analysis of such expansions. For perturbations with power-law decay at infinity stability is also proved. Finally, we consider real analytic $p(s)$." @default.
- W4313304811 created "2023-01-06" @default.
- W4313304811 creator A5037105373 @default.
- W4313304811 date "2022-12-27" @default.
- W4313304811 modified "2023-09-23" @default.
- W4313304811 title "Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution" @default.
- W4313304811 doi "https://doi.org/10.48550/arxiv.2212.13413" @default.
- W4313304811 hasPublicationYear "2022" @default.
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