Small scale formations in the incompressible porous media equation
Publication
, Journal Article
Kiselev, A; Yao, Y
February 9, 2021
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.
Duke Scholars
Publication Date
February 9, 2021
Citation
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Kiselev, A., & Yao, Y. (2021). Small scale formations in the incompressible porous media equation.
Kiselev, Alexander, and Yao Yao. “Small scale formations in the incompressible porous media equation,” February 9, 2021.
Kiselev A, Yao Y. Small scale formations in the incompressible porous media equation. 2021 Feb 9;
Kiselev, Alexander, and Yao Yao. Small scale formations in the incompressible porous media equation. Feb. 2021.
Kiselev A, Yao Y. Small scale formations in the incompressible porous media equation. 2021 Feb 9;
Publication Date
February 9, 2021