On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems | Zendy

Dan Wakako | Zendy

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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.

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