Small Scale Formations in the Incompressible Porous Media Equation
Publication
, Journal Article
Kiselev, A; Yao, Y
Published in: Archive for Rational Mechanics and Analysis
February 1, 2023
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
Published In
Archive for Rational Mechanics and Analysis
DOI
EISSN
1432-0673
ISSN
0003-9527
Publication Date
February 1, 2023
Volume
247
Issue
1
Related Subject Headings
- General Physics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Yao, Y. (2023). Small Scale Formations in the Incompressible Porous Media Equation. Archive for Rational Mechanics and Analysis, 247(1). https://doi.org/10.1007/s00205-022-01830-z
Kiselev, A., and Y. Yao. “Small Scale Formations in the Incompressible Porous Media Equation.” Archive for Rational Mechanics and Analysis 247, no. 1 (February 1, 2023). https://doi.org/10.1007/s00205-022-01830-z.
Kiselev A, Yao Y. Small Scale Formations in the Incompressible Porous Media Equation. Archive for Rational Mechanics and Analysis. 2023 Feb 1;247(1).
Kiselev, A., and Y. Yao. “Small Scale Formations in the Incompressible Porous Media Equation.” Archive for Rational Mechanics and Analysis, vol. 247, no. 1, Feb. 2023. Scopus, doi:10.1007/s00205-022-01830-z.
Kiselev A, Yao Y. Small Scale Formations in the Incompressible Porous Media Equation. Archive for Rational Mechanics and Analysis. 2023 Feb 1;247(1).
Published In
Archive for Rational Mechanics and Analysis
DOI
EISSN
1432-0673
ISSN
0003-9527
Publication Date
February 1, 2023
Volume
247
Issue
1
Related Subject Headings
- General Physics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics