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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7764 1331 23.1 51%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
810 2             BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED 12005
7764 1                   EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE 1331

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 EVANS FUNCTION authKW 614046 4% 49% 55
2 VISCOUS CONSERVATION LAWS authKW 367611 2% 64% 25
3 RAREFACTION WAVE authKW 324771 4% 30% 47
4 RELAXATION APPROXIMATION authKW 242299 1% 81% 13
5 SHOCK PROFILES authKW 236760 1% 61% 17
6 LARGE INITIAL PERTURBATION authKW 229400 1% 100% 10
7 VISCOUS SHOCK WAVES authKW 220219 1% 80% 12
8 HYPERBOLIC ELLIPTIC COUPLED SYSTEM authKW 191163 1% 83% 10
9 SPACE TIME WEIGHTED ENERGY METHOD authKW 183520 1% 100% 8
10 RADIATING GAS authKW 176457 1% 77% 10

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 36144 65% 0% 862
2 Mathematics 15559 47% 0% 623
3 Physics, Mathematical 2047 11% 0% 153
4 Mechanics 621 8% 0% 112
5 Computer Science, Interdisciplinary Applications 82 3% 0% 37
6 Mathematics, Interdisciplinary Applications 40 2% 0% 23
7 Physics, Multidisciplinary 12 3% 0% 43
8 Physics, Fluids & Plasmas 5 1% 0% 14
9 Mathematical & Computational Biology 2 1% 0% 7
10 Engineering, General 0 1% 0% 9

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 NONLINEAR ANAL 47682 2% 10% 21
2 DM2S DIR 45880 0% 100% 2
3 HUBEI MATH PHYS 30577 0% 22% 6
4 SEZ MATEMAT INGN 28668 0% 25% 5
5 AMES COMPUTAT FLUID DYNAM BRANCH 22940 0% 100% 1
6 ANALYSE TOPOL PROB 22940 0% 100% 1
7 ARBEITSGRUPPE NUMER MATH WISSEN RECHNEN 22940 0% 100% 1
8 ARDB EXCELLENCE AEROSP CFD 22940 0% 100% 1
9 BP 93 22940 0% 100% 1
10 CIENCIAS MATEMATUCMUC3M 22940 0% 100% 1

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 JOURNAL OF DIFFERENTIAL EQUATIONS 58037 10% 2% 135
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 41564 5% 3% 68
3 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 38808 2% 7% 25
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 29584 5% 2% 69
5 ACTA MATHEMATICA SCIENTIA 12380 3% 1% 37
6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 12031 2% 2% 29
7 KINETIC AND RELATED MODELS 10744 1% 4% 13
8 SIAM JOURNAL ON NUMERICAL ANALYSIS 9828 3% 1% 42
9 COMMUNICATIONS IN MATHEMATICAL SCIENCES 9200 1% 2% 17
10 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 8301 2% 1% 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 EVANS FUNCTION 614046 4% 49% 55 Search EVANS+FUNCTION Search EVANS+FUNCTION
2 VISCOUS CONSERVATION LAWS 367611 2% 64% 25 Search VISCOUS+CONSERVATION+LAWS Search VISCOUS+CONSERVATION+LAWS
3 RAREFACTION WAVE 324771 4% 30% 47 Search RAREFACTION+WAVE Search RAREFACTION+WAVE
4 RELAXATION APPROXIMATION 242299 1% 81% 13 Search RELAXATION+APPROXIMATION Search RELAXATION+APPROXIMATION
5 SHOCK PROFILES 236760 1% 61% 17 Search SHOCK+PROFILES Search SHOCK+PROFILES
6 LARGE INITIAL PERTURBATION 229400 1% 100% 10 Search LARGE+INITIAL+PERTURBATION Search LARGE+INITIAL+PERTURBATION
7 VISCOUS SHOCK WAVES 220219 1% 80% 12 Search VISCOUS+SHOCK+WAVES Search VISCOUS+SHOCK+WAVES
8 HYPERBOLIC ELLIPTIC COUPLED SYSTEM 191163 1% 83% 10 Search HYPERBOLIC+ELLIPTIC+COUPLED+SYSTEM Search HYPERBOLIC+ELLIPTIC+COUPLED+SYSTEM
9 SPACE TIME WEIGHTED ENERGY METHOD 183520 1% 100% 8 Search SPACE+TIME+WEIGHTED+ENERGY+METHOD Search SPACE+TIME+WEIGHTED+ENERGY+METHOD
10 RADIATING GAS 176457 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MASCIA, C , (2015) TWENTY-EIGHT YEARS WITH "HYPERBOLIC CONSERVATION LAWS WITH RELAXATION".ACTA MATHEMATICA SCIENTIA. VOL. 35. ISSUE 4. P. 807 -831 75 91% 0
2 ZUMBRUN, K , (2011) INSTANTANEOUS SHOCK LOCATION AND ONE-DIMENSIONAL NONLINEAR STABILITY OF VISCOUS SHOCK WAVES.QUARTERLY OF APPLIED MATHEMATICS. VOL. 69. ISSUE 1. P. 177-202 40 100% 3
3 ZOU, QY , ZHAO, HJ , WANG, T , (2012) THE JIN-XIN RELAXATION APPROXIMATION OF SCALAR CONSERVATION LAWS IN SEVERAL DIMENSIONS WITH LARGE INITIAL PERTURBATION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 253. ISSUE 2. P. 563-603 35 100% 1
4 HUMPHERYS, J , LYNG, G , ZUMBRUN, K , (2013) STABILITY OF VISCOUS DETONATIONS FOR MAJDA'S MODEL.PHYSICA D-NONLINEAR PHENOMENA. VOL. 259. ISSUE . P. 63-80 41 79% 2
5 HONG, H , (2017) ASYMPTOTIC BEHAVIOR TOWARD THE COMBINATION OF CONTACT DISCONTINUITY WITH RAREFACTION WAVES FOR 1-D COMPRESSIBLE VISCOUS GAS WITH RADIATION.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 35. ISSUE . P. 175 -199 29 100% 0
6 SHI, XD , YONG, Y , ZHANG, YL , (2017) RELAXATION LIMIT OF INTERACTING SHOCK WAVES FOR NON-ISENTROPIC GAS DYNAMICS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 450. ISSUE 1. P. 504 -531 31 91% 0
7 BARKER, B , LAFITTE, O , ZUMBRUN, K , (2010) EXISTENCE AND STABILITY OF VISCOUS SHOCK PROFILES FOR 2-D ISENTROPIC MHD WITH INFINITE ELECTRICAL RESISTIVITY.ACTA MATHEMATICA SCIENTIA. VOL. 30. ISSUE 2. P. 447 -498 35 90% 4
8 NISHIHARA, K , ZHAO, HJ , ZHAO, YC , (2004) GLOBAL STABILITY OF STRONG RAREFACTION WAVES OF THE JIN-XIN RELAXATION MODEL FOR THE P-SYSTEM.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. VOL. 29. ISSUE 9-10. P. 1607 -1634 36 100% 10
9 FAN, HT , LUO, T , (2005) CONVERGENCE TO EQUILIBRIUM RAREFACTION WAVES FOR DISCONTINUOUS SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS WITH RELAXATION.QUARTERLY OF APPLIED MATHEMATICS. VOL. 63. ISSUE 3. P. 575-600 39 89% 3
10 BARKER, B , HUMPHERYS, J , ZUMBRUN, K , (2010) ONE-DIMENSIONAL STABILITY OF PARALLEL SHOCK LAYERS IN ISENTROPIC MAGNETOHYDRODYNAMICS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 249. ISSUE 9. P. 2175-2213 29 94% 5

Classes with closest relation at Level 1


Rank Class id link
1 7290 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
2 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
3 15951 DISCONTINUOUS FLUX//ENTROPY SOLUTION//CONSERVATION LAWS
4 37186 CONSERVATION LAW WITH NONLINEAR DIVERGENT VISCOSITY//CONVERGENCE IN FORM//INNOVATION WAVES
5 22105 RENORMALIZATION GROUP METHOD//INCLINED FILM FLOW//AMPLITUDE EQUATION
6 5435 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
7 13924 ASYMPTOTIC PRESERVING SCHEMES//GAS KINETIC SCHEME//BOLTZMANN MODEL EQUATION
8 4240 HYPERBOLIC CONSERVATION LAWS//HIGH ORDER ACCURACY//WENO SCHEME
9 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
10 10806 DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY

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