Class information for:
Level 1: PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15111 731 22.5 41%


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
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
15111 1                   PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP 731

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 PRIMITIVE EQUATIONS authKW 1801470 9% 65% 66
2 SCI COMP PL MATH address 1588998 9% 57% 67
3 PL MATH SCI COMP address 443677 5% 30% 36
4 PRANDTL EQUATIONS authKW 421186 2% 92% 11
5 HYDROSTATIC APPROXIMATION authKW 334157 2% 67% 12
6 MATH CALCUL SCI address 208853 1% 100% 5
7 NONVISCOUS PRIMITIVE EQUATIONS authKW 208853 1% 100% 5
8 PRIMITIVE EQUATIONS FOR THE OCEAN authKW 167083 1% 100% 4
9 QUASIGEOSTROPHIC FLUID MODEL authKW 167083 1% 100% 4
10 INVISCID LIMIT authKW 164488 2% 25% 16

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 18550 63% 0% 458
2 Mathematics 7678 44% 0% 325
3 Physics, Mathematical 831 10% 0% 73
4 Mechanics 690 11% 0% 84
5 Physics, Fluids & Plasmas 285 5% 0% 39
6 Mathematics, Interdisciplinary Applications 220 4% 0% 32
7 Computer Science, Interdisciplinary Applications 32 2% 0% 18
8 Engineering, General 24 2% 0% 14
9 Meteorology & Atmospheric Sciences 4 1% 0% 10
10 Oceanography 3 1% 0% 7

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 SCI COMP PL MATH 1588998 9% 57% 67
2 PL MATH SCI COMP 443677 5% 30% 36
3 MATH CALCUL SCI 208853 1% 100% 5
4 ETSE CAMINOS 83541 0% 100% 2
5 EDAN IMUS 75185 0% 60% 3
6 URA 2053 62012 1% 21% 7
7 CNRS 8050 55693 0% 67% 2
8 ANAL NUMER 53894 4% 4% 31
9 BUDGET TREASURY 41771 0% 100% 1
10 DEP ECUAC DIFERENCIALES ANAL NUMER 41771 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 MATHEMATICAL FLUID MECHANICS 31366 2% 4% 18
2 ASYMPTOTIC ANALYSIS 11424 2% 2% 18
3 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 9945 6% 1% 45
4 INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 9812 2% 2% 11
5 NONLINEARITY 8001 3% 1% 25
6 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6499 3% 1% 24
7 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 5890 3% 1% 19
8 ANALYSIS AND APPLICATIONS 4615 1% 2% 6
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 4495 3% 1% 19
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 4397 2% 1% 13

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 PRIMITIVE EQUATIONS 1801470 9% 65% 66 Search PRIMITIVE+EQUATIONS Search PRIMITIVE+EQUATIONS
2 PRANDTL EQUATIONS 421186 2% 92% 11 Search PRANDTL+EQUATIONS Search PRANDTL+EQUATIONS
3 HYDROSTATIC APPROXIMATION 334157 2% 67% 12 Search HYDROSTATIC+APPROXIMATION Search HYDROSTATIC+APPROXIMATION
4 NONVISCOUS PRIMITIVE EQUATIONS 208853 1% 100% 5 Search NONVISCOUS+PRIMITIVE+EQUATIONS Search NONVISCOUS+PRIMITIVE+EQUATIONS
5 PRIMITIVE EQUATIONS FOR THE OCEAN 167083 1% 100% 4 Search PRIMITIVE+EQUATIONS+FOR+THE+OCEAN Search PRIMITIVE+EQUATIONS+FOR+THE+OCEAN
6 QUASIGEOSTROPHIC FLUID MODEL 167083 1% 100% 4 Search QUASIGEOSTROPHIC+FLUID+MODEL Search QUASIGEOSTROPHIC+FLUID+MODEL
7 INVISCID LIMIT 164488 2% 25% 16 Search INVISCID+LIMIT Search INVISCID+LIMIT
8 PRIMITIVE EQUATIONS OF THE OCEAN 150370 1% 60% 6 Search PRIMITIVE+EQUATIONS+OF+THE+OCEAN Search PRIMITIVE+EQUATIONS+OF+THE+OCEAN
9 LIMITED DOMAINS 133665 1% 80% 4 Search LIMITED+DOMAINS Search LIMITED+DOMAINS
10 SOBOLEV SLOBODETSKII SPACE 133665 1% 80% 4 Search SOBOLEV+SLOBODETSKII+SPACE Search SOBOLEV+SLOBODETSKII+SPACE

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 KUKAVICA, I , LOMBARDO, MC , SAMMARTINO, M , (2016) ZERO VISCOSITY LIMIT FOR ANALYTIC SOLUTIONS OF THE PRIMITIVE EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 222. ISSUE 1. P. 15 -45 43 100% 0
2 FEI, MW , HAN, DZ , WANG, XM , (2017) INITIAL-BOUNDARY LAYER ASSOCIATED WITH THE NONLINEAR DARCY-BRINKMAN-OBERBECK-BOUSSINESQ SYSTEM.PHYSICA D-NONLINEAR PHENOMENA. VOL. 338. ISSUE . P. 42 -56 45 83% 0
3 KUKAVICA, I , MASMOUDI, N , VICOL, V , WONG, TK , (2014) ON THE LOCAL WELL-POSEDNESS OF THE PRANDTL AND HYDROSTATIC EULER EQUATIONS WITH MULTIPLE MONOTONICITY REGIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 46. ISSUE 6. P. 3865 -3890 41 89% 4
4 GIE, GM , JUNG, CY , TEMAM, R , (2016) RECENT PROGRESSES IN BOUNDARY LAYER THEORY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 5. P. 2521 -2583 52 60% 1
5 HAN, DZ , WANG, XM , (2014) INITIAL-BOUNDARY LAYER ASSOCIATED WITH THE NONLINEAR DARCY-BRINKMAN SYSTEM.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 2. P. 609 -639 38 83% 1
6 CANNONE, M , LOMBARDO, MC , SAMMARTINO, M , (2014) ON THE PRANDTL BOUNDARY LAYER EQUATIONS IN PRESENCE OF CORNER SINGULARITIES.ACTA APPLICANDAE MATHEMATICAE. VOL. 132. ISSUE 1. P. 139 -149 31 91% 1
7 CANNONE, M , LOMBARDO, MC , SAMMARTINO, M , (2013) WELL-POSEDNESS OF PRANDTL EQUATIONS WITH NON-COMPATIBLE DATA.NONLINEARITY. VOL. 26. ISSUE 12. P. 3077 -3100 33 80% 5
8 MASMOUDI, N , WONG, TK , (2015) LOCAL-IN-TIME EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE PRANDTL EQUATIONS BY ENERGY METHODS.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 68. ISSUE 10. P. 1683 -1741 23 100% 7
9 HAN, DZ , MAZZUCATO, AL , NIU, DJ , WANG, XM , (2012) BOUNDARY LAYER FOR A CLASS OF NONLINEAR PIPE FLOW.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 252. ISSUE 12. P. 6387 -6413 27 100% 4
10 KELLIHER, JP , TEMAM, R , WANG, XM , (2011) BOUNDARY LAYER ASSOCIATED WITH THE DARCY-BRINKMAN-BOUSSINESQ MODEL FOR CONVECTION IN POROUS MEDIA.PHYSICA D-NONLINEAR PHENOMENA. VOL. 240. ISSUE 7. P. 619 -628 34 79% 11

Classes with closest relation at Level 1


Rank Class id link
1 5435 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
2 986 REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS
3 13642 ROTATING OBSTACLE//FLUID RIGID BODY INTERACTION//ROTATING BODY
4 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
5 22480 APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS
6 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS
7 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
8 14886 WAVES IN ROTATING FLUIDS//SEMIGEOSTROPHIC EQUATIONS//BALANCED MODELS
9 18050 OSCILLATING BOUNDARY//OPERATOR ERROR ESTIMATES//PERIODIC DIFFERENTIAL OPERATORS
10 12337 TWO LEVEL METHOD//NAVIER STOKES EQUATIONS//TWO GRID METHOD

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