On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media | Zendy

Pierangelo Marcati | Zendy; Ronghua Pan | Zendy

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On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media

Author(s) -

Pierangelo Marcati,

Ronghua Pan

Publication year - 2001

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/s0036141099364401

Subject(s) - sobolev space , adiabatic process , mathematics , porous medium , compressibility , initial value problem , cauchy problem , flow (mathematics) , compressible flow , mathematical analysis , balanced flow , porosity , geometry , mechanics , physics , thermodynamics , geotechnical engineering , engineering

. We study the Cauchy problem,for the system of one dimensional compressible adiabatic flow through porous media and the related diffusive problem. We introduce a new approach which combines the usual energy methods,with special L,-estimates, weighted energy estimates,

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