Class information for:
Level 2: BOLTZMANN EQUATION//RAREFIED GAS//RAREFIED GAS DYNAMICS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
1867 6042 23.1 43%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
18 4 THERMODYNAMICS//ENERGY & FUELS//ENGINEERING, CHEMICAL 531182
579 3       BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS 16197
1867 2             BOLTZMANN EQUATION//RAREFIED GAS//RAREFIED GAS DYNAMICS 6042
5487 1                   BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION 1618
10935 1                   EXTENDED THERMODYNAMICS//BURNETT EQUATIONS//RAREFIED POLYATOMIC GAS 1023
12855 1                   RAREFIED GAS//RAREFIED GAS DYNAMICS//DISCRETE VELOCITY METHOD 877
13924 1                   ASYMPTOTIC PRESERVING SCHEMES//GAS KINETIC SCHEME//BOLTZMANN MODEL EQUATION 804
14336 1                   VLASOV POISSON SYSTEM//VLASOV POISSON EQUATION//VLASOV MAXWELL SYSTEM 776
16950 1                   TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT 626
24268 1                   ACCELERATING PACKING//BELITSKII LYUBICH CONJECTURE//PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS 318

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 BOLTZMANN EQUATION authKW 1377213 10% 46% 589
2 RAREFIED GAS authKW 348135 2% 58% 118
3 RAREFIED GAS DYNAMICS authKW 293605 2% 62% 94
4 KINETIC AND RELATED MODELS journal 282792 2% 39% 142
5 VLASOV POISSON SYSTEM authKW 231153 1% 74% 62
6 KINETIC THEORY authKW 225700 4% 21% 213
7 DISCRETE VELOCITY MODELS authKW 187524 1% 81% 46
8 RAREFIED GAS FLOW authKW 186819 1% 54% 68
9 ASYMPTOTIC PRESERVING SCHEMES authKW 144960 1% 74% 39
10 TRANSPORT THEORY AND STATISTICAL PHYSICS journal 136560 2% 25% 109

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with term
in class
1 Physics, Mathematical 41000 23% 1% 1409
2 Mathematics, Applied 39276 32% 0% 1960
3 Physics, Fluids & Plasmas 15184 13% 0% 765
4 Mechanics 14935 18% 0% 1081
5 Mathematics 14835 22% 0% 1353
6 Computer Science, Interdisciplinary Applications 2479 6% 0% 366
7 Physics, Multidisciplinary 1505 9% 0% 536
8 Thermodynamics 911 4% 0% 226
9 Mathematics, Interdisciplinary Applications 107 1% 0% 87
10 Multidisciplinary Sciences 65 1% 0% 50

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with term
in class
1 ADV FLUID SCI ENGN 45757 1% 29% 31
2 PL MATH CIRAM 36652 0% 48% 15
3 SOCIAL CONTRIBUT ABORAT 31567 0% 63% 10
4 UNITA INFN 28057 0% 56% 10
5 MIP 21515 1% 11% 38
6 O MATEMAT LICADAS SISTEMAS 21048 0% 83% 5
7 JAMES WEIR FLUIDS 20188 0% 29% 14
8 UMR 5640 18912 1% 11% 33
9 MODELISAT MECAN MATH PL 18698 0% 37% 10
10 MATH 17968 21% 0% 1272

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 KINETIC AND RELATED MODELS 282792 2% 39% 142
2 TRANSPORT THEORY AND STATISTICAL PHYSICS 136560 2% 25% 109
3 JOURNAL OF STATISTICAL PHYSICS 64645 5% 4% 318
4 CONTINUUM MECHANICS AND THERMODYNAMICS 51920 2% 11% 94
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 37557 2% 5% 138
6 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 33486 2% 6% 107
7 EUROPEAN JOURNAL OF MECHANICS B-FLUIDS 27009 2% 6% 95
8 JOURNAL OF COMPUTATIONAL PHYSICS 24045 4% 2% 232
9 PHYSICS OF FLUIDS 21863 4% 2% 249
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 18378 2% 3% 115

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 BOLTZMANN EQUATION 1377213 10% 46% 589 Search BOLTZMANN+EQUATION Search BOLTZMANN+EQUATION
2 RAREFIED GAS 348135 2% 58% 118 Search RAREFIED+GAS Search RAREFIED+GAS
3 RAREFIED GAS DYNAMICS 293605 2% 62% 94 Search RAREFIED+GAS+DYNAMICS Search RAREFIED+GAS+DYNAMICS
4 VLASOV POISSON SYSTEM 231153 1% 74% 62 Search VLASOV+POISSON+SYSTEM Search VLASOV+POISSON+SYSTEM
5 KINETIC THEORY 225700 4% 21% 213 Search KINETIC+THEORY Search KINETIC+THEORY
6 DISCRETE VELOCITY MODELS 187524 1% 81% 46 Search DISCRETE+VELOCITY+MODELS Search DISCRETE+VELOCITY+MODELS
7 RAREFIED GAS FLOW 186819 1% 54% 68 Search RAREFIED+GAS+FLOW Search RAREFIED+GAS+FLOW
8 ASYMPTOTIC PRESERVING SCHEMES 144960 1% 74% 39 Search ASYMPTOTIC+PRESERVING+SCHEMES Search ASYMPTOTIC+PRESERVING+SCHEMES
9 KINETIC EQUATIONS 130233 1% 31% 83 Search KINETIC+EQUATIONS Search KINETIC+EQUATIONS
10 KINETIC THEORY OF GASES 127219 1% 55% 46 Search KINETIC+THEORY+OF+GASES Search KINETIC+THEORY+OF+GASES

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref. in
cl.
Shr. of ref. in
cl.
Citations
1 DIMARCO, G , PARESCHI, L , (2014) NUMERICAL METHODS FOR KINETIC EQUATIONS.ACTA NUMERICA. VOL. 23. ISSUE . P. 369 -520 130 77% 19
2 TORRILHON, M , (2016) MODELING NONEQUILIBRIUM GAS FLOW BASED ON MOMENT EQUATIONS.ANNUAL REVIEW OF FLUID MECHANICS, VOL 48. VOL. 48. ISSUE . P. 429 -458 81 91% 5
3 ALEXANDRE, R , (2009) A REVIEW OF BOLTZMANN EQUATION WITH SINGULAR KERNELS.KINETIC AND RELATED MODELS. VOL. 2. ISSUE 4. P. 551 -646 79 95% 20
4 SHARIPOV, F , (2011) DATA ON THE VELOCITY SLIP AND TEMPERATURE JUMP ON A GAS-SOLID INTERFACE.JOURNAL OF PHYSICAL AND CHEMICAL REFERENCE DATA. VOL. 40. ISSUE 2. P. - 64 85% 58
5 WANG, LS , XIAO, QH , XIONG, LJ , ZHAO, HJ , (2016) THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS.ACTA MATHEMATICA SCIENTIA. VOL. 36. ISSUE 4. P. 1049 -1097 58 100% 0
6 SKUBACHEVSKII, AL , (2014) VLASOV-POISSON EQUATIONS FOR A TWO-COMPONENT PLASMA IN A HOMOGENEOUS MAGNETIC FIELD.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 2. P. 291 -330 62 93% 1
7 ANDREASSON, H , (2011) THE EINSTEIN-VLASOV SYSTEM/KINETIC THEORY.LIVING REVIEWS IN RELATIVITY. VOL. 14. ISSUE . P. - 91 62% 25
8 SHARIPOV, F , (2013) GASEOUS MIXTURES IN VACUUM SYSTEMS AND MICROFLUIDICS.JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A. VOL. 31. ISSUE 5. P. - 62 83% 7
9 STRUCHTRUP, H , TAHERI, P , (2011) MACROSCOPIC TRANSPORT MODELS FOR RAREFIED GAS FLOWS: A BRIEF REVIEW.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 76. ISSUE 5. P. 672 -697 57 90% 19
10 GRESSMAN, PT , STRAIN, RM , (2011) GLOBAL CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION WITHOUT ANGULAR CUT-OFF.JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 24. ISSUE 3. P. 771-847 48 94% 40

Classes with closest relation at Level 2



Rank Class id link
1 3112 JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//EXTENDED IRREVERSIBLE THERMODYNAMICS//P GRAPH
2 2524 LATTICE BOLTZMANN METHOD//LATTICE BOLTZMANN//LATTICE BOLTZMANN EQUATION
3 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
4 3860 STOCHASTIC ELECTRODYNAMICS//ERGA LERMA//ZERO POINT FIELD
5 1263 ENGINEERING, AEROSPACE//JOURNAL OF SPACECRAFT AND ROCKETS//JOURNAL OF PROPULSION AND POWER
6 686 THERMODYNAMICS//HEAT EXCHANGER//HEAT TRANSFER ENHANCEMENT
7 762 JOURNAL OF COMPUTATIONAL PHYSICS//SMOOTHED PARTICLE HYDRODYNAMICS//SHALLOW WATER EQUATIONS
8 3079 VACUUM//JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A//GETTER
9 1925 JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER//RADIATIVE HEAT TRANSFER//DISCRETE ORDINATES METHOD
10 3038 THERMODIFFUSION//SORET EFFECT//FLUCTUATING HYDRODYNAMICS

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