Class information for:
Level 2: NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
704 12952 23.1 48%


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
986 1                   REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS 2919
4698 1                   PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR 1742
5435 1                   COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT 1624
6982 1                   CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR 1420
13642 1                   ROTATING OBSTACLE//FLUID RIGID BODY INTERACTION//ROTATING BODY 823
14499 1                   KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS 766
15111 1                   PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP 731
16726 1                   VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY 639
17690 1                   NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE 587
20585 1                   MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX 453
22105 1                   RENORMALIZATION GROUP METHOD//INCLINED FILM FLOW//AMPLITUDE EQUATION 393
22480 1                   APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS 380
24033 1                   KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL 325
31607 1                   NON LOCAL HAMILTONIAN FIELD THEORY//CONLEY MOSER CONDITION//COULOMBIAN AND NEWTONIAN FLUIDS 150

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 NAVIER STOKES EQUATIONS authKW 755591 8% 31% 1049
2 GLOBAL ATTRACTOR authKW 714226 4% 56% 538
3 CAHN HILLIARD EQUATION authKW 393487 2% 67% 250
4 REGULARITY CRITERION authKW 379900 1% 96% 168
5 PULLBACK ATTRACTOR authKW 323620 1% 85% 162
6 JOURNAL OF MATHEMATICAL FLUID MECHANICS journal 322518 2% 56% 243
7 MATHEMATICS, APPLIED WoSSC 302026 60% 2% 7787
8 STRONG SOLUTION authKW 279544 2% 49% 241
9 RANDOM ATTRACTOR authKW 259233 1% 76% 145
10 COMPRESSIBLE NAVIER STOKES EQUATIONS authKW 222948 1% 58% 164

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 302026 60% 2% 7787
2 Mathematics 161666 48% 1% 6257
3 Physics, Mathematical 21174 12% 1% 1532
4 Mechanics 9852 10% 0% 1351
5 Physics, Fluids & Plasmas 3874 5% 0% 615
6 Mathematics, Interdisciplinary Applications 3338 4% 0% 530
7 Computer Science, Interdisciplinary Applications 347 2% 0% 268
8 Physics, Multidisciplinary 282 4% 0% 516
9 Engineering, General 103 1% 0% 159
10 Multidisciplinary Sciences 11 0% 0% 56

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 MATH 149597 40% 1% 5209
2 SCI COMP PL MATH 130925 1% 69% 81
3 ECUAC DIFERENCIALES ANAL NUMER 97413 1% 44% 95
4 DPTO ECUAC DIFERENCIALES ANAL NUMER 61906 0% 48% 55
5 DIPARTIMENTO MATEMAT F BRIO I 59578 1% 27% 95
6 PL MATH SCI COMP 52150 0% 43% 52
7 MATH CRYPTOL 40453 0% 45% 38
8 MATH SCI 34445 9% 1% 1120
9 HUA LOO KENG MATH 33945 0% 31% 47
10 DIPARTIMENTO MATEMAT F CASORATI 32612 0% 23% 61

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 322518 2% 56% 243
2 JOURNAL OF DIFFERENTIAL EQUATIONS 132134 5% 9% 637
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 83919 2% 12% 302
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 77915 3% 10% 333
5 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 71683 3% 9% 332
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 60803 4% 5% 561
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 60637 2% 8% 309
8 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 60316 1% 13% 191
9 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 47630 2% 9% 222
10 NONLINEARITY 45300 2% 8% 251

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 NAVIER STOKES EQUATIONS 755591 8% 31% 1049 Search NAVIER+STOKES+EQUATIONS Search NAVIER+STOKES+EQUATIONS
2 GLOBAL ATTRACTOR 714226 4% 56% 538 Search GLOBAL+ATTRACTOR Search GLOBAL+ATTRACTOR
3 CAHN HILLIARD EQUATION 393487 2% 67% 250 Search CAHN+HILLIARD+EQUATION Search CAHN+HILLIARD+EQUATION
4 REGULARITY CRITERION 379900 1% 96% 168 Search REGULARITY+CRITERION Search REGULARITY+CRITERION
5 PULLBACK ATTRACTOR 323620 1% 85% 162 Search PULLBACK+ATTRACTOR Search PULLBACK+ATTRACTOR
6 STRONG SOLUTION 279544 2% 49% 241 Search STRONG+SOLUTION Search STRONG+SOLUTION
7 RANDOM ATTRACTOR 259233 1% 76% 145 Search RANDOM+ATTRACTOR Search RANDOM+ATTRACTOR
8 COMPRESSIBLE NAVIER STOKES EQUATIONS 222948 1% 58% 164 Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS Search COMPRESSIBLE+NAVIER+STOKES+EQUATIONS
9 EXPONENTIAL ATTRACTOR 215495 1% 76% 121 Search EXPONENTIAL+ATTRACTOR Search EXPONENTIAL+ATTRACTOR
10 REGULARITY CRITERIA 207393 1% 98% 90 Search REGULARITY+CRITERIA Search REGULARITY+CRITERIA

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 CHERFILS, L , MIRANVILLE, A , ZELIK, S , (2011) THE CAHN-HILLIARD EQUATION WITH LOGARITHMIC POTENTIALS.MILAN JOURNAL OF MATHEMATICS. VOL. 79. ISSUE 2. P. 561 -596 140 89% 24
2 CHAE, D , CONSTANTIN, P , WU, JH , (2012) DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES AND SURFACE QUASI-GEOSTROPHIC EQUATIONS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 61. ISSUE 5. P. 1997-2018 80 98% 6
3 CHAE, D , CONSTANTIN, P , WU, JH , (2011) INVISCID MODELS GENERALIZING THE TWO-DIMENSIONAL EULER AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 202. ISSUE 1. P. 35-62 73 97% 33
4 CONSTANTIN, P , TARFULEA, A , VICOL, V , (2015) LONG TIME DYNAMICS OF FORCED CRITICAL SQG.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 335. ISSUE 1. P. 93 -141 70 92% 6
5 WU, JH , XU, XJ , YE, Z , (2015) GLOBAL SMOOTH SOLUTIONS TO THE N-DIMENSIONAL DAMPED MODELS OF INCOMPRESSIBLE FLUID MECHANICS WITH SMALL INITIAL DATUM.JOURNAL OF NONLINEAR SCIENCE. VOL. 25. ISSUE 1. P. 157 -192 66 99% 0
6 CONSTANTIN, P , LAI, MC , SHARMA, R , TSENG, YH , WU, JH , (2012) NEW NUMERICAL RESULTS FOR THE SURFACE QUASI-GEOSTROPHIC EQUATION.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 50. ISSUE 1. P. 1-28 60 98% 5
7 CONSTANTIN, P , TARFULEA, A , VICOL, V , (2014) ABSENCE OF ANOMALOUS DISSIPATION OF ENERGY IN FORCED TWO DIMENSIONAL FLUID EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 212. ISSUE 3. P. 875-903 59 92% 4
8 TIERRA, G , GUILLEN-GONZALEZ, F , (2015) NUMERICAL METHODS FOR SOLVING THE CAHN-HILLIARD EQUATION AND ITS APPLICABILITY TO RELATED ENERGY-BASED MODELS.ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. VOL. 22. ISSUE 2. P. 269 -289 46 96% 10
9 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 46 100% 4
10 GAL, CG , GRASSELLI, M , MIRANVILLE, A , (2016) CAHN-HILLIARD-NAVIER-STOKES SYSTEMS WITH MOVING CONTACT LINES.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 55. ISSUE 3. P. - 51 88% 0

Classes with closest relation at Level 2


Rank Class id link
1 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
2 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
3 2568 HOMOGENIZATION//TWO SCALE CONVERGENCE//PERFORATED DOMAINS
4 3258 VORTEX TUBE//VORTEX METHOD//RANQUE HILSCH VORTEX TUBE
5 1877 CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED
6 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
7 2119 BENARD CONVECTION//ISOTROPIC TURBULENCE//PHYSICS, FLUIDS & PLASMAS
8 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE
9 1325 JOURNAL OF THE ATMOSPHERIC SCIENCES//PHYSICS, FLUIDS & PLASMAS//POINT VORTEX
10 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL

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