Class information for:
Level 1: CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6982 1420 28.4 57%


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
6982 1                   CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR 1420

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 CAHN HILLIARD EQUATION authKW 3450804 17% 66% 245
2 CAHN HILLIARD authKW 851120 4% 65% 61
3 EXPONENTIAL ATTRACTOR authKW 436554 4% 36% 57
4 DYNAMIC BOUNDARY CONDITIONS authKW 419512 3% 49% 40
5 PHASE FIELD SYSTEM authKW 355444 2% 72% 23
6 VISCOUS CAHN HILLIARD EQUATION authKW 345226 1% 94% 17
7 CONVEX SPLITTING authKW 337483 1% 83% 19
8 ALLEN CAHN EQUATION authKW 328764 3% 31% 49
9 GLOBAL ATTRACTOR authKW 318965 8% 12% 119
10 CAHN HILLIARD SYSTEM authKW 310700 1% 85% 17

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 42372 68% 0% 963
2 Mathematics 7965 33% 0% 468
3 Physics, Mathematical 3258 14% 0% 197
4 Computer Science, Interdisciplinary Applications 929 7% 0% 106
5 Mechanics 643 8% 0% 118
6 Mathematics, Interdisciplinary Applications 235 3% 0% 48
7 Physics, Fluids & Plasmas 222 4% 0% 51
8 Engineering, General 99 3% 0% 36
9 Physics, Multidisciplinary 57 5% 0% 67
10 Automation & Control Systems 14 1% 0% 15

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 DIPARTIMENTO MATEMAT F CASORATI 242614 4% 21% 55
2 UMR CNRS SP2MI 7348 152902 1% 89% 8
3 UMR 7348SP2MI 150515 0% 100% 7
4 UMR CNRS 7348 150501 1% 50% 14
5 DIPARTIMENTO MATEMAT F BRIO I 144934 3% 14% 49
6 SP2MI 91397 2% 12% 35
7 THEORET COMPUTAT STUDIES 89590 0% 83% 5
8 UMR CNRS 7348 SP2MI 86008 0% 100% 4
9 MATH PLICATSP2MI 57336 0% 67% 4
10 UMR CNRS 6086 55444 0% 37% 7

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 INTERFACES AND FREE BOUNDARIES 29137 1% 6% 21
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 18418 1% 4% 20
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 18050 4% 2% 53
4 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 18000 4% 2% 55
5 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 11842 2% 2% 28
6 JOURNAL OF COMPUTATIONAL PHYSICS 11631 5% 1% 78
7 ASYMPTOTIC ANALYSIS 8769 2% 2% 22
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 7187 2% 1% 24
9 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 6579 2% 1% 23
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 6341 4% 1% 60

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 CAHN HILLIARD EQUATION 3450804 17% 66% 245 Search CAHN+HILLIARD+EQUATION Search CAHN+HILLIARD+EQUATION
2 CAHN HILLIARD 851120 4% 65% 61 Search CAHN+HILLIARD Search CAHN+HILLIARD
3 EXPONENTIAL ATTRACTOR 436554 4% 36% 57 Search EXPONENTIAL+ATTRACTOR Search EXPONENTIAL+ATTRACTOR
4 DYNAMIC BOUNDARY CONDITIONS 419512 3% 49% 40 Search DYNAMIC+BOUNDARY+CONDITIONS Search DYNAMIC+BOUNDARY+CONDITIONS
5 PHASE FIELD SYSTEM 355444 2% 72% 23 Search PHASE+FIELD+SYSTEM Search PHASE+FIELD+SYSTEM
6 VISCOUS CAHN HILLIARD EQUATION 345226 1% 94% 17 Search VISCOUS+CAHN+HILLIARD+EQUATION Search VISCOUS+CAHN+HILLIARD+EQUATION
7 CONVEX SPLITTING 337483 1% 83% 19 Search CONVEX+SPLITTING Search CONVEX+SPLITTING
8 ALLEN CAHN EQUATION 328764 3% 31% 49 Search ALLEN+CAHN+EQUATION Search ALLEN+CAHN+EQUATION
9 GLOBAL ATTRACTOR 318965 8% 12% 119 Search GLOBAL+ATTRACTOR Search GLOBAL+ATTRACTOR
10 CAHN HILLIARD SYSTEM 310700 1% 85% 17 Search CAHN+HILLIARD+SYSTEM Search CAHN+HILLIARD+SYSTEM

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 -596 138 87% 24
2 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
3 FRIGERI, S , (2016) GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A NONLOCAL MODEL FOR TWO-PHASE FLOWS OF INCOMPRESSIBLE FLUIDS WITH UNMATCHED DENSITIES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 26. ISSUE 10. P. 1955 -1993 45 96% 0
4 LEE, D , HUH, JY , JEONG, D , SHIN, J , YUN, A , KIM, J , (2014) PHYSICAL, MATHEMATICAL, AND NUMERICAL DERIVATIONS OF THE CAHN-HILLIARD EQUATION.COMPUTATIONAL MATERIALS SCIENCE. VOL. 81. ISSUE . P. 216-225 57 72% 9
5 GUO, J , WANG, C , WISE, SM , YUE, XY , (2016) AN H-2 CONVERGENCE OF A SECOND-ORDER CONVEX-SPLITTING, FINITE DIFFERENCE SCHEME FOR THE THREE-DIMENSIONAL CAHN-HILLIARD EQUATION.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 14. ISSUE 2. P. 489 -515 35 95% 2
6 FRIGERI, S , GRASSELLI, M , ROCCA, E , (2015) A DIFFUSE INTERFACE MODEL FOR TWO-PHASE INCOMPRESSIBLE FLOWS WITH NON-LOCAL INTERACTIONS AND NON-CONSTANT MOBILITY.NONLINEARITY. VOL. 28. ISSUE 5. P. 1257 -1293 41 91% 2
7 CHENG, KL , WANG, C , WISE, SM , YUE, XY , (2016) A SECOND-ORDER, WEAKLY ENERGY-STABLE PSEUDO-SPECTRAL SCHEME FOR THE CAHN-HILLIARD EQUATION AND ITS SOLUTION BY THE HOMOGENEOUS LINEAR ITERATION METHOD.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 69. ISSUE 3. P. 1083 -1114 39 89% 1
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 39 81% 10
9 DIEGEL, AE , WANG, C , WISE, SM , (2016) STABILITY AND CONVERGENCE OF A SECOND-ORDER MIXED FINITE ELEMENT METHOD FOR THE CAHN-HILLIARD EQUATION.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 36. ISSUE 4. P. 1867 -1897 35 92% 1
10 MININNI, RM , MIRANVILLE, A , ROMANELLI, S , (2017) HIGHER-ORDER CAHN-HILLIARD EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 449. ISSUE 2. P. 1321 -1339 39 87% 0

Classes with closest relation at Level 1


Rank Class id link
1 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
2 22362 PHASE FIELD CRYSTAL//PHASE FIELD CRYSTAL MODEL//DYNAMICAL DENSITY FUNCTIONAL THEORY
3 30584 CLOSEST POINT METHOD//EVOLVING SURFACES//EVOLVING SURFACE FINITE ELEMENT METHOD
4 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
5 18777 DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET
6 4203 DENDRITIC GROWTH//PHASE FIELD MODEL//PHASE FIELD
7 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
8 34131 GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS
9 26997 ATTRACTOR BIFURCATION//DYNAMIC TRANSITION THEORY//EXTENDED FISHER KOLMOGOROV EQUATION
10 15104 THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS

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