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Darcy's law as long-time limit of adiabatic porous media flow |
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| Authors: | Ronghua Pan |
| Institution: | School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USA |
| Abstract: | It is conjectured that Darcy's law governs the motion of compressible porous media flow in large time. This has been justified for one-dimensional isentropic flows. In this work, we show the conjecture is true for one-dimensional adiabatic flows with generic small smooth initial data. |
| Keywords: | Darcy's Law Damping mechanism _method=retrieve& _eid=1-s2 0-S0022039604004073& _mathId=si1 gif& _pii=S0022039604004073& _issn=00220396& _acct=C000069490& _version=1& _userid=6211566& md5=14d063c9b0f6a59bdd168c5e0f46acf0')" style="cursor:pointer L1-estimates" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">L1-estimates Weighted energy estimates Self-similarity |
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