ISSN:
1572-9613
Keywords:
Boltzmann equation
;
partial differential equations
;
global solutions
;
mild solutions
;
lattice
;
semigroup
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The nonlinear Boltzmann equation with a discretized spatial variable is studied in a Banach space of absolutely integrable functions of the velocity variables. Conservation laws and positivity are utilized to extend weak local solutions to a global solution. This is shown to be a strong solution by analytic semigroup techniques.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011781
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