Class information for:
Level 1: BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5487 1618 22.3 47%


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

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 1343639 19% 24% 301
2 SOFT POTENTIALS authKW 388188 1% 86% 24
3 LANDAU EQUATION authKW 344982 2% 63% 29
4 HARD POTENTIALS authKW 321791 1% 95% 18
5 DISCRETE VELOCITY MODELS authKW 318123 2% 54% 31
6 KINETIC AND RELATED MODELS journal 310667 5% 21% 77
7 VLASOV POISSON BOLTZMANN SYSTEM authKW 227793 1% 93% 13
8 NON CUTOFF authKW 207576 1% 100% 11
9 DISCRETE BOLTZMANN EQUATION authKW 152217 1% 73% 11
10 INELASTIC BOLTZMANN EQUATION authKW 152217 1% 73% 11

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 Mathematics, Applied 18649 43% 0% 691
2 Physics, Mathematical 16075 28% 0% 454
3 Mathematics 10367 35% 0% 568
4 Mechanics 1640 12% 0% 192
5 Physics, Fluids & Plasmas 193 3% 0% 52
6 Statistics & Probability 152 3% 0% 47
7 Physics, Multidisciplinary 50 4% 0% 71
8 Materials Science, Characterization, Testing 17 1% 0% 9
9 Multidisciplinary Sciences 16 1% 0% 13
10 Computer Science, Interdisciplinary Applications 12 1% 0% 23

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 UNITA INFN 104828 1% 56% 10
2 IRENAV 54369 1% 21% 14
3 LEFSHETZ DYNAM SYST 42457 0% 75% 3
4 LEFSHITZ DYNAM SYST 37741 0% 100% 2
5 SCI COMPLEX RANGUEIL 37741 0% 100% 2
6 MATH L WARTZ 30188 0% 40% 4
7 UMR MATH 6085 25159 0% 67% 2
8 CMLA 23876 2% 5% 25
9 UMR 6085 23057 1% 6% 19
10 DAVID RITTENHOUSE 22805 1% 9% 14

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 310667 5% 21% 77
2 JOURNAL OF STATISTICAL PHYSICS 94110 12% 3% 198
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 54695 5% 3% 86
4 TRANSPORT THEORY AND STATISTICAL PHYSICS 46750 2% 8% 33
5 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 20238 3% 3% 43
6 COMMUNICATIONS IN MATHEMATICAL PHYSICS 18280 6% 1% 89
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 10309 3% 1% 45
8 JOURNAL OF DIFFERENTIAL EQUATIONS 9044 4% 1% 59
9 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 8958 2% 1% 34
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 7341 2% 2% 25

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 1343639 19% 24% 301 Search BOLTZMANN+EQUATION Search BOLTZMANN+EQUATION
2 SOFT POTENTIALS 388188 1% 86% 24 Search SOFT+POTENTIALS Search SOFT+POTENTIALS
3 LANDAU EQUATION 344982 2% 63% 29 Search LANDAU+EQUATION Search LANDAU+EQUATION
4 HARD POTENTIALS 321791 1% 95% 18 Search HARD+POTENTIALS Search HARD+POTENTIALS
5 DISCRETE VELOCITY MODELS 318123 2% 54% 31 Search DISCRETE+VELOCITY+MODELS Search DISCRETE+VELOCITY+MODELS
6 VLASOV POISSON BOLTZMANN SYSTEM 227793 1% 93% 13 Search VLASOV+POISSON+BOLTZMANN+SYSTEM Search VLASOV+POISSON+BOLTZMANN+SYSTEM
7 NON CUTOFF 207576 1% 100% 11 Search NON+CUTOFF Search NON+CUTOFF
8 DISCRETE BOLTZMANN EQUATION 152217 1% 73% 11 Search DISCRETE+BOLTZMANN+EQUATION Search DISCRETE+BOLTZMANN+EQUATION
9 INELASTIC BOLTZMANN EQUATION 152217 1% 73% 11 Search INELASTIC+BOLTZMANN+EQUATION Search INELASTIC+BOLTZMANN+EQUATION
10 HOMOGENEOUS BOLTZMANN EQUATION 150965 0% 100% 8 Search HOMOGENEOUS+BOLTZMANN+EQUATION Search HOMOGENEOUS+BOLTZMANN+EQUATION

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 ALEXANDRE, R , (2009) A REVIEW OF BOLTZMANN EQUATION WITH SINGULAR KERNELS.KINETIC AND RELATED MODELS. VOL. 2. ISSUE 4. P. 551 -646 78 94% 20
2 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
3 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
4 XIAO, QH , XIONG, LJ , MAO, HJ , (2017) THE VLASOV-POISSON-BOLTZMANN SYSTEM FOR THE WHOLE RANGE OF CUTOFF SOFT POTENTIALS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 272. ISSUE 1. P. 166 -226 45 100% 0
5 DESVILLETTES, L , MOUHOT, C , VILLANI, C , (2011) CELEBRATING CERCIGNANI'S CONJECTURE FOR THE BOLTZMANN EQUATION.KINETIC AND RELATED MODELS. VOL. 4. ISSUE 1. P. 277 -294 48 100% 5
6 ALEXANDRE, R , MORIMOTO, Y , UKAI, S , XU, CJ , YANG, T , (2011) GLOBAL EXISTENCE AND FULL REGULARITY OF THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 304. ISSUE 2. P. 513 -581 48 91% 21
7 STRAIN, RM , YUN, SB , (2014) SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION FOR RELATIVISTIC PARTICLES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 46. ISSUE 1. P. 917-938 38 100% 2
8 STRAIN, RM , ZHU, KY , (2012) LARGE-TIME DECAY OF THE SOFT POTENTIAL RELATIVISTIC BOLTZMANN EQUATION IN R-X(3).KINETIC AND RELATED MODELS. VOL. 5. ISSUE 2. P. 383 -415 39 100% 6
9 LIU, SQ , YANG, XF , (2017) THE INITIAL BOUNDARY VALUE PROBLEM FOR THE BOLTZMANN EQUATION WITH SOFT POTENTIAL.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 223. ISSUE 1. P. 463 -541 36 97% 0
10 ALEXANDRE, R , MORIMOTO, Y , UKAI, S , XU, CJ , YANG, T , (2012) THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: I, GLOBAL EXISTENCE FOR SOFT POTENTIAL.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 262. ISSUE 3. P. 915 -1010 33 100% 26

Classes with closest relation at Level 1


Rank Class id link
1 13924 ASYMPTOTIC PRESERVING SCHEMES//GAS KINETIC SCHEME//BOLTZMANN MODEL EQUATION
2 14336 VLASOV POISSON SYSTEM//VLASOV POISSON EQUATION//VLASOV MAXWELL SYSTEM
3 24268 ACCELERATING PACKING//BELITSKII LYUBICH CONJECTURE//PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
4 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT
5 12855 RAREFIED GAS//RAREFIED GAS DYNAMICS//DISCRETE VELOCITY METHOD
6 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
7 10935 EXTENDED THERMODYNAMICS//BURNETT EQUATIONS//RAREFIED POLYATOMIC GAS
8 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
9 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
10 27805 TAKAHASI NEAREST NEIGHBOUR GAS//ISOBARIC PROCESS//ENTHALPY CHANGES OF VAPORIZATION

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