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arXiv · 1804.08490

Global existence of quasi-stratified solutions for the confined IPM equation

Angel Castro·Diego Córdoba·Daniel Lear
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Abstract

In this paper, we consider a confined physical scenario to prove global existence of smooth solutions with bounded density and finite energy for the inviscid incompressible porous media (IPM) equation. The result is proved using the stability of stratified solutions, combined with an additional structure of our initial perturbation, which allows us to get rid of the boundary terms in the energy estimates.

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Angel Castro, Diego Córdoba, Daniel Lear. 2018-04-20. Global existence of quasi-stratified solutions for the confined IPM equation. https://doi.org/10.1007/s00205-018-1324-3

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