Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    A global existence theorem for the nonlinear BGK equation (1989)
    Springer
    Journal of statistical physics 55 (1989), S. 1313-1321 
    Details
    ISSN: 1572-9613
    Keywords: BGK equation ; kinetic equation ; kinetic theory ; semilinear equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A global existence theorem with large initial data inL 1 is given for the nonlinear BGK equation. The method, which is based on the recent averaging lemma of Golseet al., utilizes a weak compactness argument inL 1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01041091
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Classical solution of the nonlinear Boltzmann equation in allR 3: Asymptotic behavior of solutions (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 611-632 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; initial value problem ; kinetic theory ; asymptotic behavior of solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Proof is given of the existence of a classical solution to the nonlinear Boltzmann equation in allR 3. The solution, which is global in time, exists if the initial data go to zero fast enough at infinity and the mean free path is sufficiently large. The solution is smooth in the space variable if the initial value is smooth. The asymptotic behavior of solutions is also given. It is shown that ast→∞ the solution to the Boltzmann equation can be approximated by the solution to the free motion problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026493
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Global existence inL 1 for the generalized Enskog equation (1990)
    Springer
    Journal of statistical physics 59 (1990), S. 461-500 
    Details
    ISSN: 1572-9613
    Keywords: Existence theorems ; nonlinear evolution equations ; Enskog equation ; Boltzmann equation ; kinetic theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Various existence theorems are given for the generalized Enskog equation inR 3 and in a bounded spatial domain with periodic boundary conditions. A very general form of the geometric factorY is allowed, including an explicit space, velocity, and time dependence. The method is based on the existence of a Liapunov functional, an analog of theH-function in the Boltzmann equation, and utilizes a weak compactness argument inL 1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01015578
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    The Kinetic Theory of Simple Reacting Spheres: I. Global Existence Result in a Dilute-Gas Case (2000)
    Springer
    Journal of statistical physics 100 (2000), S. 327-362 
    Details
    ISSN: 1572-9613
    Keywords: kinetic theory of gas mixtures ; chemical reactions ; reacting mixtures ; simple reacting spheres ; hard-sphere systems ; initial value problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Existence of global-in-time, spatially inhomogeneous, and L 1-renormalized solutions is proven for the model of simple reacting spheres under the assumptions that initially the system has a finite total mass, energy, and entropy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018608216136
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Some remarks about continuity properties of local Maxwellians and an existence theorem for the BGK model of the Boltzmann equation (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 307-316 
    Details
    ISSN: 1572-9613
    Keywords: BGK equation ; Boltzmann equation ; local Maxwellian
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Continuity of local Maxwellians in various topologies ofL 1 is studied. The existence and convergence of approximate solutions of the nonlinear BGK model of the Boltzmann equation are proved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009799
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    New properties of a class of generalized kinetic equations (1991)
    Springer
    Journal of statistical physics 64 (1991), S. 437-464 
    Details
    ISSN: 1572-9613
    Keywords: Kinetic theory ; entropy ; H-theorem ; localH-theorem ; hard-sphere fluid ; BBGKY hierarchy ; Enskog equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We give some properties of a new class of hard-sphere kinetic equations of great generality, introduced earlier by Polewczak. The assumptions used to obtain the general class are very weak, and the equations include not only the standard and revised Enskog equations, but also generalizations thereof that can be expected to yield essentially exact transport coefficients. In particular, there is a natural two-particle realization that is obtained from maximizing the information entropy subject to prescribed two-particle and one-particle probability distribution functions;k-particle analogs fork 〉 2 also naturally follow. We obtain Liapunov functionals for the whole class of equations under consideration and discuss the question of which of these functionals can be expected to play the role ofH-functions. We also obtain several more special results that include new lower bounds on the potential part of theH-function for the revised Enskog equation. The bounds are instrumental in obtaining global existence theorems and also imply that the necessary condition for invertibility of the nonequilibrium extension of local activity as a functional of local density is satisfied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01057886
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Global existence inL 1 for the modified nonlinear Enskog equation in ℝ3 (1989)
    Springer
    Journal of statistical physics 56 (1989), S. 159-173 
    Details
    ISSN: 1572-9613
    Keywords: Enskog equation ; Boltzmann equation ; kinetic theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A global existence theorem with large initial data inL 1 is given for the modified Enskog equation in ℝ3. The method, which is based on the existence of a Liapunov functional (analog of theH-Boltzmann theorem), utilizes a weak compactness argument inL 1 in a similar way to the DiPerna-Lions proof for the Boltzmann equation. The existence theorem is obtained under certain condition on the behavior of the geometric factorY. The condition onY amounts to the fact that theL 1 norm of the collision term grows linearly when the local density tends to infinity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01044239
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Book
    Book
    Modern mathematical methods in transport theory; Vol. 51 (1991)
    Basel u.a. :Birkhäuser,
    Details
    Title: Modern mathematical methods in transport theory; Vol. 51
    Contributer: Greenberg, William , Polewczak, Jacek
    Publisher: Basel u.a. :Birkhäuser,
    Year of publication: 1991
    Pages: 327 S.
    Series Statement: Operator theory: advances and applications Vol. 51
    Type of Medium: Book
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    ZIB Catalog
    Zuse Institute Berlin get availability status
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...