Stationary solutions of the non‐linear Boltzmann equation in a bounded spatial domain | Zendy

van der Mee C. V. M. | Zendy; Neunzert H. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Stationary solutions of the non‐linear Boltzmann equation in a bounded spatial domain

Author(s) -

van der Mee C. V. M.,

Neunzert H.

Publication year - 1989

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.1670110405

Subject(s) - mathematics , bounded function , domain (mathematical analysis) , mathematical analysis , fredholm theory , boltzmann equation , contraction mapping , norm (philosophy) , boundary (topology) , contraction (grammar) , piecewise linear function , fredholm integral equation , integral equation , law , fixed point , medicine , physics , quantum mechanics , political science

A contraction mapping (or, alternatively, an implicit function theory) argument is applied in combination with the Fredholm alternative to prove the existence of a unique stationary solution of the non‐linear Boltzmann equation on a bounded spatial domain under a rather general reflection law at the piecewise C 1 boundary. The boundary data are to be small in a weighted L ∞ ‐norm.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research