caa a22 4500 467892059 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10955-006-9115-x doi (NATIONALLICENCE)springer-10.1007/s10955-006-9115-x Cercignani Carlo Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy aut Weak Solutions of the Boltzmann Equation Without Angle Cutoff [Elektronische Daten] [Carlo Cercignani] The definition of the concept of weak solution of the nonlinear Boltzmann equation, recently introduced by the author, is used to prove that, without any cutoff in the collision kernel, the Boltzmann equation for Maxwell molecules in the one-dimensional case has a global weak solution in this sense. Global conservation of energy follows. Springer Science + Business Media, Inc., 2006 Boltzmann equation nationallicence Energy conservation nationallicence Global solution nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 753-762 0022-4715 123:4<753 2006 123 10955 https://doi.org/10.1007/s10955-006-9115-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9115-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cercignani Carlo Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 753-762 0022-4715 123:4<753 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer