Walus, Wlodzimierz Ignacy2015-06-242015-06-241985http://hdl.handle.net/10919/53613The abstract kinetic equation Tψ’=-Aψ is studied with partial range boundary conditions in two geometries, in the half space x≥0 and on a finite interval [0, r]. T and A are abstract self-adjoint operators in a complex Hilbert space. In the case of the half space problem it is assumed that T is a (possibly) unbounded injection and A is a positive compact perturbation of the identity satisfying a regularity condition, while in the case of slab geometry T is a bounded injection and A is a bounded Fredholm operator with a finite dimensional negative part. Existence and uniqueness theory is developed for both models. Results are illustrated on relevant physical examples.iv, 66 leaves ;application/pdfen-USIn CopyrightLD5655.V856 1985.W348Transport theoryHilbert spaceRarefied gas dynamics -- Mathematical modelsDissertation