Boltzmann equation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Boltzmann equation" in English language version.

refsWebsite

Global rank English rank

19doi.org

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8harvard.edu

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5arxiv.org

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4nih.gov

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1jstor.org

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1archive.org

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1worldcat.org

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1caltech.edu

887^th place

714^th place

1polito.it

low place

archive.org

Huang, Kerson (1987). Statistical Mechanics (Second ed.). New York: Wiley. p. 53. ISBN 978-0-471-81518-1.

arxiv.org

Philip T. Gressman & Robert M. Strain (2010). "Global classical solutions of the Boltzmann equation with long-range interactions". Proceedings of the National Academy of Sciences. 107 (13): 5744–5749. arXiv:1002.3639. Bibcode:2010PNAS..107.5744G. doi:10.1073/pnas.1001185107. PMC 2851887. PMID 20231489.
Drewes, Marco; Mendizabal, Sebastián; Weniger, Christoph (January 2013). "The Boltzmann equation from quantum field theory". Physics Letters B. 718 (3): 1119–1124. arXiv:1202.1301. Bibcode:2013PhLB..718.1119D. doi:10.1016/j.physletb.2012.11.046.
Maartens, Roy; Gebbie, Tim; Ellis, George (March 1999). "Cosmic microwave background anisotropies: Nonlinear dynamics". Physical Review D. 59 (8): 083506. arXiv:astro-ph/9808163. Bibcode:1999PhRvD..59h3506M. doi:10.1103/PhysRevD.59.083506.
Gressman, Philip; Strain, Robert (18 March 2011). "Global classical solutions of the Boltzmann equation without angular cut-off". Journal of the American Mathematical Society. 24 (3): 771–847. arXiv:0912.0888. doi:10.1090/S0894-0347-2011-00697-8.
van Noije, T. P. C.; Ernst, M. H. (1997-06-03). "Ring Kinetic Theory for an Idealized Granular Gas". arXiv:cond-mat/9706020.

caltech.edu

resolver.caltech.edu

Thorne, Kip S. (April 1980). "Multipole expansions of gravitational radiation". Reviews of Modern Physics. 52 (2): 299–339. Bibcode:1980RvMP...52..299T. doi:10.1103/RevModPhys.52.299.

doi.org

Gorban, Alexander; Karlin, Ilya (2005). Invariant Manifolds for Physical and Chemical Kinetics. Lecture Notes in Physics. Vol. 660. doi:10.1007/b98103. ISBN 978-3-540-22684-0.^{[page needed]}
DiPerna, R. J.; Lions, P. L. (1989). "On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability". Annals of Mathematics. 130 (2): 321–366. doi:10.2307/1971423. JSTOR 1971423.
Philip T. Gressman & Robert M. Strain (2010). "Global classical solutions of the Boltzmann equation with long-range interactions". Proceedings of the National Academy of Sciences. 107 (13): 5744–5749. arXiv:1002.3639. Bibcode:2010PNAS..107.5744G. doi:10.1073/pnas.1001185107. PMC 2851887. PMID 20231489.
Bhatnagar, P. L.; Gross, E. P.; Krook, M. (May 1954). "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems". Physical Review. 94 (3): 511–525. Bibcode:1954PhRv...94..511B. doi:10.1103/PhysRev.94.511.
Drewes, Marco; Mendizabal, Sebastián; Weniger, Christoph (January 2013). "The Boltzmann equation from quantum field theory". Physics Letters B. 718 (3): 1119–1124. arXiv:1202.1301. Bibcode:2013PhLB..718.1119D. doi:10.1016/j.physletb.2012.11.046.
Thorne, Kip S. (April 1980). "Multipole expansions of gravitational radiation". Reviews of Modern Physics. 52 (2): 299–339. Bibcode:1980RvMP...52..299T. doi:10.1103/RevModPhys.52.299.
Ellis, G.F.R; Treciokas, R; Matravers, D.R (October 1983). "Anisotropic solutions of the Einstein-Boltzmann equations. II. Some exact properties of the equations". Annals of Physics. 150 (2): 487–503. Bibcode:1983AnPhy.150..487E. doi:10.1016/0003-4916(83)90024-6.
Debbasch, Fabrice; Willem van Leeuwen (2009). "General relativistic Boltzmann equation I: Covariant treatment". Physica A. 388 (7): 1079–1104. Bibcode:2009PhyA..388.1079D. doi:10.1016/j.physa.2008.12.023.
Debbasch, Fabrice; Willem van Leeuwen (2009). "General relativistic Boltzmann equation II: Manifestly covariant treatment". Physica A. 388 (9): 1818–34. Bibcode:2009PhyA..388.1818D. doi:10.1016/j.physa.2009.01.009.
Maartens, Roy; Gebbie, Tim; Ellis, George (March 1999). "Cosmic microwave background anisotropies: Nonlinear dynamics". Physical Review D. 59 (8): 083506. arXiv:astro-ph/9808163. Bibcode:1999PhRvD..59h3506M. doi:10.1103/PhysRevD.59.083506.
Gressman, Philip; Strain, Robert (18 March 2011). "Global classical solutions of the Boltzmann equation without angular cut-off". Journal of the American Mathematical Society. 24 (3): 771–847. arXiv:0912.0888. doi:10.1090/S0894-0347-2011-00697-8.
Evans, Ben; Morgan, Ken; Hassan, Oubay (March 2011). "A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows". Applied Mathematical Modelling. 35 (3): 996–1015. doi:10.1016/j.apm.2010.07.027.
Evans, B.; Walton, S.P. (December 2017). "Aerodynamic optimisation of a hypersonic reentry vehicle based on solution of the Boltzmann–BGK equation and evolutionary optimisation". Applied Mathematical Modelling. 52: 215–240. doi:10.1016/j.apm.2017.07.024.
Pareschi, Lorenzo; Russo, Giovanni (January 2000). "Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator". SIAM Journal on Numerical Analysis. 37 (4): 1217–1245. doi:10.1137/S0036142998343300.
Müller-Kirsten, Harald J W (2013). "The Boltzmann Transport Equation". Basics of Statistical Physics. pp. 207–221. doi:10.1142/9789814449540_0013. ISBN 978-981-4449-53-3.
"Theme issue 'Hilbert's sixth problem'". Philosophical Transactions of the Royal Society A. 376 (2118). 2018. doi:10.1098/rsta/376/2118.
Cercignani, Carlo (2007). "Microscopic Foundations of the Mechanics of Gases and Granular Materials". Material Substructures in Complex Bodies. pp. 63–79. doi:10.1016/B978-008044535-9/50003-0. ISBN 978-0-08-044535-9.
Chauviere, A.; Hillen, T.; Preziosi, L. (March 2007). "Modeling cell movement in anisotropic and heterogeneous network tissues" (PDF). Networks and Heterogeneous Media. 2 (2): 333–357. doi:10.3934/nhm.2007.2.333.
Conte, Martina; Loy, Nadia (March 2022). "Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis". Bulletin of Mathematical Biology. 84 (3): 42. doi:10.1007/s11538-021-00978-1. PMC 8840942. PMID 35150333.

harvard.edu

ui.adsabs.harvard.edu

Philip T. Gressman & Robert M. Strain (2010). "Global classical solutions of the Boltzmann equation with long-range interactions". Proceedings of the National Academy of Sciences. 107 (13): 5744–5749. arXiv:1002.3639. Bibcode:2010PNAS..107.5744G. doi:10.1073/pnas.1001185107. PMC 2851887. PMID 20231489.
Bhatnagar, P. L.; Gross, E. P.; Krook, M. (May 1954). "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems". Physical Review. 94 (3): 511–525. Bibcode:1954PhRv...94..511B. doi:10.1103/PhysRev.94.511.
Drewes, Marco; Mendizabal, Sebastián; Weniger, Christoph (January 2013). "The Boltzmann equation from quantum field theory". Physics Letters B. 718 (3): 1119–1124. arXiv:1202.1301. Bibcode:2013PhLB..718.1119D. doi:10.1016/j.physletb.2012.11.046.
Thorne, Kip S. (April 1980). "Multipole expansions of gravitational radiation". Reviews of Modern Physics. 52 (2): 299–339. Bibcode:1980RvMP...52..299T. doi:10.1103/RevModPhys.52.299.
Ellis, G.F.R; Treciokas, R; Matravers, D.R (October 1983). "Anisotropic solutions of the Einstein-Boltzmann equations. II. Some exact properties of the equations". Annals of Physics. 150 (2): 487–503. Bibcode:1983AnPhy.150..487E. doi:10.1016/0003-4916(83)90024-6.
Debbasch, Fabrice; Willem van Leeuwen (2009). "General relativistic Boltzmann equation I: Covariant treatment". Physica A. 388 (7): 1079–1104. Bibcode:2009PhyA..388.1079D. doi:10.1016/j.physa.2008.12.023.
Debbasch, Fabrice; Willem van Leeuwen (2009). "General relativistic Boltzmann equation II: Manifestly covariant treatment". Physica A. 388 (9): 1818–34. Bibcode:2009PhyA..388.1818D. doi:10.1016/j.physa.2009.01.009.
Maartens, Roy; Gebbie, Tim; Ellis, George (March 1999). "Cosmic microwave background anisotropies: Nonlinear dynamics". Physical Review D. 59 (8): 083506. arXiv:astro-ph/9808163. Bibcode:1999PhRvD..59h3506M. doi:10.1103/PhysRevD.59.083506.

jstor.org

DiPerna, R. J.; Lions, P. L. (1989). "On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability". Annals of Mathematics. 130 (2): 321–366. doi:10.2307/1971423. JSTOR 1971423.

nih.gov

ncbi.nlm.nih.gov

Philip T. Gressman & Robert M. Strain (2010). "Global classical solutions of the Boltzmann equation with long-range interactions". Proceedings of the National Academy of Sciences. 107 (13): 5744–5749. arXiv:1002.3639. Bibcode:2010PNAS..107.5744G. doi:10.1073/pnas.1001185107. PMC 2851887. PMID 20231489.
Conte, Martina; Loy, Nadia (March 2022). "Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis". Bulletin of Mathematical Biology. 84 (3): 42. doi:10.1007/s11538-021-00978-1. PMC 8840942. PMID 35150333.

pubmed.ncbi.nlm.nih.gov

Philip T. Gressman & Robert M. Strain (2010). "Global classical solutions of the Boltzmann equation with long-range interactions". Proceedings of the National Academy of Sciences. 107 (13): 5744–5749. arXiv:1002.3639. Bibcode:2010PNAS..107.5744G. doi:10.1073/pnas.1001185107. PMC 2851887. PMID 20231489.
Conte, Martina; Loy, Nadia (March 2022). "Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis". Bulletin of Mathematical Biology. 84 (3): 42. doi:10.1007/s11538-021-00978-1. PMC 8840942. PMID 35150333.

polito.it

porto.polito.it

Chauviere, A.; Hillen, T.; Preziosi, L. (March 2007). "Modeling cell movement in anisotropic and heterogeneous network tissues" (PDF). Networks and Heterogeneous Media. 2 (2): 333–357. doi:10.3934/nhm.2007.2.333.

worldcat.org

search.worldcat.org

Ellis, George FR (1971). "Relativistic cosmology". General relativity and cosmology. Academic Press. pp. 104–. ISBN 978-0-12-368847-7. OCLC 1149235989.