Class information for:
Level 1: EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
1719 2             CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE 6934
6944 1                   EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE 1452

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EVANS FUNCTION authKW 673518 4% 52% 60
2 VISCOUS CONSERVATION LAWS authKW 405125 2% 67% 28
3 RAREFACTION WAVE authKW 322908 3% 30% 50
4 VISCOUS SHOCK WAVES authKW 244530 1% 87% 13
5 LARGE INITIAL PERTURBATION authKW 217041 1% 100% 10
6 SHOCK PROFILES authKW 216279 1% 59% 17
7 ZERO DISSIPATION LIMIT authKW 202012 1% 85% 11
8 HYPERBOLIC ELLIPTIC COUPLED SYSTEM authKW 180864 1% 83% 10
9 SPACE TIME WEIGHTED ENERGY METHOD authKW 173633 1% 100% 8
10 RADIATING GAS authKW 166950 1% 77% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 38249 64% 0% 927
2 Mathematics 16747 47% 0% 677
3 Physics, Mathematical 3356 14% 0% 202
4 Mechanics 888 10% 0% 138
5 Computer Science, Interdisciplinary Applications 42 2% 0% 31
6 Physics, Multidisciplinary 35 4% 0% 59
7 Mathematics, Interdisciplinary Applications 26 1% 0% 21
8 Physics, Fluids & Plasmas 7 1% 0% 16
9 Mathematical & Computational Biology 1 0% 0% 7
10 Computer Science, Software Engineering 0 1% 0% 8

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 1 44023 2% 8% 27
2 DM2S DIR 43408 0% 100% 2
3 MECAN LILLE MECAN FONDAMENTALE 43408 0% 100% 2
4 NONLINEAR ANAL 42127 1% 9% 21
5 ZCAM 28937 0% 67% 2
6 HUBEI MATH PHYS 27896 0% 21% 6
7 AMES COMPUTAT FLUID DYNAM BRANCH 21704 0% 100% 1
8 ANALYSE TOPOL PROB 21704 0% 100% 1
9 ARBEITSGRUPPE NUMER MATH WISSEN RECHNEN 21704 0% 100% 1
10 ARDB EXCELLENCE AEROSP CFD 21704 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 69314 11% 2% 154
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 43936 5% 3% 73
3 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 38461 2% 7% 26
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 37564 6% 2% 81
5 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 11896 2% 2% 30
6 ACTA MATHEMATICA SCIENTIA 11435 3% 1% 37
7 KINETIC AND RELATED MODELS 11347 1% 4% 14
8 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 10230 1% 3% 15
9 QUARTERLY OF APPLIED MATHEMATICS 9618 2% 2% 27
10 COMMUNICATIONS IN MATHEMATICAL SCIENCES 7998 1% 2% 17

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 EVANS FUNCTION 673518 4% 52% 60 Search EVANS+FUNCTION Search EVANS+FUNCTION
2 VISCOUS CONSERVATION LAWS 405125 2% 67% 28 Search VISCOUS+CONSERVATION+LAWS Search VISCOUS+CONSERVATION+LAWS
3 RAREFACTION WAVE 322908 3% 30% 50 Search RAREFACTION+WAVE Search RAREFACTION+WAVE
4 VISCOUS SHOCK WAVES 244530 1% 87% 13 Search VISCOUS+SHOCK+WAVES Search VISCOUS+SHOCK+WAVES
5 LARGE INITIAL PERTURBATION 217041 1% 100% 10 Search LARGE+INITIAL+PERTURBATION Search LARGE+INITIAL+PERTURBATION
6 SHOCK PROFILES 216279 1% 59% 17 Search SHOCK+PROFILES Search SHOCK+PROFILES
7 ZERO DISSIPATION LIMIT 202012 1% 85% 11 Search ZERO+DISSIPATION+LIMIT Search ZERO+DISSIPATION+LIMIT
8 HYPERBOLIC ELLIPTIC COUPLED SYSTEM 180864 1% 83% 10 Search HYPERBOLIC+ELLIPTIC+COUPLED+SYSTEM Search HYPERBOLIC+ELLIPTIC+COUPLED+SYSTEM
9 SPACE TIME WEIGHTED ENERGY METHOD 173633 1% 100% 8 Search SPACE+TIME+WEIGHTED+ENERGY+METHOD Search SPACE+TIME+WEIGHTED+ENERGY+METHOD
10 RADIATING GAS 166950 1% 77% 10 Search RADIATING+GAS Search RADIATING+GAS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 9941 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
2 18428 EULER POISSON EQUATIONS//EULER MAXWELL EQUATIONS//EULER POISSON SYSTEM
3 38268 CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES
4 17135 KINETIC RELATION//NONCLASSICAL SHOCK//HALF SPACE TRANSIENT RESPONSE
5 4567 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
6 10371 DISCONTINUOUS FLUX//ENTROPY SOLUTION//DEGENERATE PARABOLIC HYPERBOLIC EQUATION
7 17673 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
8 19704 EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER EQUATIONS
9 11502 DISPERSIVE ESTIMATES//ORBITAL STABILITY//SOLITARY MANIFOLD
10 11838 ASYMPTOTIC PRESERVING SCHEME//ASYMPTOTIC PRESERVING SCHEMES//BOLTZMANN MODEL EQUATION

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