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- W3124477393 abstract "In this paper we consider the slightly $L^2$-supercritical gKdV equations $partial_t u+(u_{xx}+u|u|^{p-1})_x=0$, with the nonlinearity $5<p<5+varepsilon$ and $0<varepsilonll 1$ . We will prove the existence and stability of a blow-up dynamic with self-similar blow-up rate in the energy space $H^1$ and give a specific description of the formation of the singularity near the blow-up time." @default.
- W3124477393 created "2021-02-01" @default.
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- W3124477393 date "2016-02-15" @default.
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- W3124477393 title "Stable Self-Similar Blow-Up Dynamics for Slightly $${L^2}$$ L 2 -Supercritical Generalized KDV Equations" @default.
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- W3124477393 doi "https://doi.org/10.1007/s00220-016-2589-8" @default.
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