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On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems
Author(s) -
Dan Wakako
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670181304
Subject(s) - mathematics , thermoelastic damping , neumann boundary condition , mathematical analysis , hyperbolic partial differential equation , von neumann architecture , boundary value problem , boundary (topology) , parabolic partial differential equation , partial differential equation , pure mathematics , thermal , physics , meteorology
We prove a local in time existence theorem of classical solutions to some coupled system of quasilinear hyperbolic equations and quasilinear parabolic equations with Neumann boundary condition. This coupled system contains a non‐linear thermoelastic equation as an important physical example.