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Nonlinear Dynamics in Partial Differential Equations
We present a study of dissipative structures for a class of the coupled kinetic-fluid models with partial relaxations at the linearized level. It is a generalization of several known results in the decoupled case that is either for the kinetic model or for the symmetric hyperbolic system. Precisely, a partially dissipative linearized system is of the type (p, q) if the real parts of all eigenvalues in terms of the frequency variable k admit an upper bound -lki 2 P /(1 + lkl 2 )q up to a commondoi:10.2969/aspm/06410327 fatcat:lh4jf5g2snakjoydm7wvvyra7a