zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous. (English) Zbl 0434.76065

MSC:
76P05Rarefied gas flows, Boltzmann equation
References:
[1]Arkeryd, L.: On the Boltzmann equation. I, II. Arch. Ration. Mech. Anal.45, 1-16 and 17-34 (1972)
[2]Chapman, S., Cowling, T.G.: The mathematical theory of non-uniform gases, 3rd ed. Cambridge: Cambridge University Press 1970
[3]Glikson, A.: On the existence of general solutions of the initial-value problem for the nonlinear Boltzmann equation with a cut-off. Arch. Ration. Mech. Anal.45, 35-46 (1972) · doi:10.1007/BF00253394
[4]Grad, H.: Principles of the kinetic theory of gases. In: Handbuch der PhysikXII, 205-294 (1958)
[5]Grad, H.: Asymptotic theory of the Boltzmann equation. II. In: Rarefied gas dynamics, 3rd Symposium, 26-59. Paris: 1962
[6]Grad, H.: Asumptotic converges of the Navier-Stokes and the nonlinear Boltzmann equations. Proc. Symp. App. Math.17, 154-183 (1965)
[7]Hirschfelder, J., Curtiss, C., Bird, R.: Molecular theory of gases and liquids. London: Wiley 1954
[8]Kaniel, S., Shinbrot, M.: The Boltzmann equation. Commun. Math. Phys.58, 65-84 (1978) · Zbl 0371.76061 · doi:10.1007/BF01624788
[9]Lanford, O.E.: Time evolution of large classical systems. In: Dynamical systems, theory, and applications. Lecture Notes in Phys.38, 1-111 (1975) · Zbl 0329.70011 · doi:10.1007/3-540-07171-7_1
[10]Maxwell, J.: On the dynamical theory of gases. In: The scientific papers of James Clark Maxwell. Cambridge: Cambridge University Press 1890
[11]Nishida, T., Imai, L.: Global solutions to the initial value problem for the nonlinear Boltzmann equation. Publ. RIMS Kyoto.12, 229-239 (1976) · Zbl 0344.35003 · doi:10.2977/prims/1195190965
[12]Schecter, M.: On the essential spectrum of an arbitrary operator. J. Math. Anal. Appl.13, 205-215 (1966) · Zbl 0147.12101 · doi:10.1016/0022-247X(66)90085-0
[13]Ukai, S.: On the existence of global solutions of mixed problem for nonlinear Boltzmann equation. Proc. Jpn. Acad.50, 179-184 (1974) · Zbl 0312.35061 · doi:10.3792/pja/1195519027