Small Scale Formations in the Incompressible Porous Media Equation
Small Scale Formations in the Incompressible Porous Media Equation
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DOI：
10.1007/s00205-022-01830-z
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发表时间：
2021-02
影响因子：
2.5
通讯作者：
A. Kiselev;Yao Yao-Yao
中科院分区：
文献类型：
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作者：
A. Kiselev;Yao Yao-Yao
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.
