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Branching of solutions to stationary kinetic equations. (Russian. English summary) Zbl 0905.34035

Summary: The phenomenon of branching of solutions to abstract stationary kinetic equations in Banach spaces is investigated. Conditions of solution bifurcation are considered. A modified Lyapunov-Schmidt method for infinite-dimensional projectors of Uehling-Uhlenbeck’s equation is used.

MSC:

34C23 Bifurcation theory for ordinary differential equations
34G20 Nonlinear differential equations in abstract spaces
37G99 Local and nonlocal bifurcation theory for dynamical systems
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B03 Foundations of equilibrium statistical mechanics
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