Math @ Duke
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Publications [#361348] of Alexander A. Kiselev
Papers Published
- Kiselev, A; Yao, Y, Small scale formations in the incompressible porous media equation
(February, 2021)
(last updated on 2024/03/27)
Abstract: We construct examples of solutions to the incompressible porous media (IPM)
equation that must exhibit infinite in time growth of derivatives provided they
remain smooth. As an application, this allows us to obtain nonlinear
instability for a class of stratified steady states of IPM.
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