Convexity breaking of the free boundary for porous medium equations | Zendy

Kazuhiro Ishige | Zendy; Paolo Salani | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Convexity breaking of the free boundary for porous medium equations

Author(s) -

Kazuhiro Ishige,

Paolo Salani

Publication year - 2010

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/227

Subject(s) - convexity , porous medium , boundary (topology) , porosity , mechanics , mathematics , mathematical analysis , materials science , physics , economics , composite material , financial economics

Is then Pφ(t) convex for every t > 0? (See Section 2 for the definition of α-concavity.) The porous medium equation provides a simple model in many physical situations, in particular, the flow of an isentropic gas through a porous medium; in such a case, u and um−1 represent the density and the pressure of the gas, respectively. Due to its practical interest, regularity and geometric properties of the free boundary ∂Pφ(t) have been extensively studied by many

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research