Class information for:
Level 2: CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK 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
9941 1                   QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS 1138
10371 1                   DISCONTINUOUS FLUX//ENTROPY SOLUTION//DEGENERATE PARABOLIC HYPERBOLIC EQUATION 1099
14026 1                   DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS 828
17135 1                   KINETIC RELATION//NONCLASSICAL SHOCK//HALF SPACE TRANSIENT RESPONSE 643
17673 1                   NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE 616
18428 1                   EULER POISSON EQUATIONS//EULER MAXWELL EQUATIONS//EULER POISSON SYSTEM 576
19704 1                   EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER EQUATIONS 516
38268 1                   CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES 66

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONSERVATION LAWS authKW 496646 7% 22% 492
2 RIEMANN PROBLEM authKW 446360 3% 44% 225
3 DELTA SHOCK WAVE authKW 322576 1% 100% 71
4 ENTROPY SOLUTION authKW 322492 2% 49% 144
5 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS journal 308915 2% 42% 161
6 QUASILINEAR HYPERBOLIC SYSTEM authKW 308183 1% 86% 79
7 SCALAR CONSERVATION LAWS authKW 264469 1% 67% 87
8 RAREFACTION WAVE authKW 249152 1% 57% 96
9 COMPENSATED COMPACTNESS authKW 186474 1% 55% 75
10 JOURNAL OF DIFFERENTIAL EQUATIONS journal 159499 7% 7% 511

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 152285 58% 1% 4051
2 Mathematics 72697 45% 1% 3088
3 Physics, Mathematical 6098 9% 0% 615
4 Mechanics 5643 11% 0% 748
5 Mathematics, Interdisciplinary Applications 811 3% 0% 203
6 Computer Science, Interdisciplinary Applications 213 2% 0% 151
7 Automation & Control Systems 213 2% 0% 109
8 Engineering, General 183 2% 0% 124
9 Engineering, Petroleum 75 0% 0% 30
10 Physics, Fluids & Plasmas 30 1% 0% 75

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 57701 35% 1% 2398
2 NONLINEAR MATH MODELING METHODS 37858 0% 83% 10
3 NONLINEAR ANAL 30378 1% 17% 39
4 BUSINESS INFORMAT MATH 26193 0% 38% 15
5 UMR 6620 24576 1% 12% 47
6 MAB 23767 0% 20% 26
7 FLUID DYNAM SEISM 23364 0% 86% 6
8 UA 756 23364 0% 86% 6
9 UMR 7598 22866 1% 8% 62
10 UMR 5142 21471 0% 16% 30

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 308915 2% 42% 161
2 JOURNAL OF DIFFERENTIAL EQUATIONS 159499 7% 7% 511
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 118383 4% 10% 262
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 86590 4% 7% 269
5 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 51260 2% 7% 167
6 NETWORKS AND HETEROGENEOUS MEDIA 50542 1% 16% 69
7 QUARTERLY OF APPLIED MATHEMATICS 35879 2% 7% 114
8 CHINESE ANNALS OF MATHEMATICS SERIES B 31682 2% 6% 110
9 ACTA MATHEMATICA SCIENTIA 30410 2% 5% 132
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 25123 2% 5% 122

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CONSERVATION LAWS 496646 7% 22% 492 Search CONSERVATION+LAWS Search CONSERVATION+LAWS
2 RIEMANN PROBLEM 446360 3% 44% 225 Search RIEMANN+PROBLEM Search RIEMANN+PROBLEM
3 DELTA SHOCK WAVE 322576 1% 100% 71 Search DELTA+SHOCK+WAVE Search DELTA+SHOCK+WAVE
4 ENTROPY SOLUTION 322492 2% 49% 144 Search ENTROPY+SOLUTION Search ENTROPY+SOLUTION
5 QUASILINEAR HYPERBOLIC SYSTEM 308183 1% 86% 79 Search QUASILINEAR+HYPERBOLIC+SYSTEM Search QUASILINEAR+HYPERBOLIC+SYSTEM
6 SCALAR CONSERVATION LAWS 264469 1% 67% 87 Search SCALAR+CONSERVATION+LAWS Search SCALAR+CONSERVATION+LAWS
7 RAREFACTION WAVE 249152 1% 57% 96 Search RAREFACTION+WAVE Search RAREFACTION+WAVE
8 COMPENSATED COMPACTNESS 186474 1% 55% 75 Search COMPENSATED+COMPACTNESS Search COMPENSATED+COMPACTNESS
9 TRANSONIC SHOCK 159016 1% 100% 35 Search TRANSONIC+SHOCK Search TRANSONIC+SHOCK
10 EVANS FUNCTION 140942 1% 52% 60 Search EVANS+FUNCTION Search EVANS+FUNCTION

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 2


rank cluster_id2 link
1 1319 NAVIER STOKES EQUATIONS//REGULARITY CRITERION//JOURNAL OF MATHEMATICAL FLUID MECHANICS
2 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
3 1866 BOLTZMANN EQUATION//RAREFIED GAS//DSMC
4 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
5 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
6 571 JOURNAL OF COMPUTATIONAL PHYSICS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS//COMPUTERS & FLUIDS
7 3373 MAGNETOGASDYNAMICS//NON IDEAL GAS//ACCELERATION WAVES
8 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
9 1416 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW
10 3948 BURGERS TURBULENCE//RANDOM INITIAL VELOCITY//GABINETE REITORIA

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