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Asymptotic stability of viscous shock profiles to Burgers equation with singular super-fast diffusion | Synapse
March 3, 2026
Asymptotic stability of viscous shock profiles to Burgers equation with singular super-fast diffusion
JL
Jingyu Li
Northeast Normal University
DL
Dandan Li
Peking University
MM
Ming Mei
Key Points
Asymptotic stability of viscous shock profiles indicates long-term behavior of solutions.
The analysis shows that unique shock profiles persist under specific conditions of diffusion.
Investigative methods include mathematical modeling and differential equation analysis.
This work emphasizes how altered diffusion rates impact stability in fluid dynamics.
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Li et al. (Wed,) studied this question.
synapsesocial.com/papers/69a75c3dc6e9836116a24e48
https://doi.org/https://doi.org/10.1016/j.jde.2026.114158