Class information for:
Level 1: THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15104 731 24.4 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
810 2             BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED 12005
15104 1                   THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS 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 THIN FILM EQUATION authKW 1305296 7% 63% 50
2 QUANTUM DRIFT DIFFUSION MODEL authKW 668331 2% 100% 16
3 QUANTUM HYDRODYNAMICS authKW 609115 5% 42% 35
4 QUANTUM DRIFT DIFFUSION authKW 534658 2% 80% 16
5 FOURTH ORDER DEGENERATE PARABOLIC EQUATIONS authKW 400994 2% 80% 12
6 QUANTUM HYDRODYNAMIC MODEL authKW 306912 2% 57% 13
7 FOURTH ORDER PARABOLIC authKW 250624 1% 100% 6
8 WIGNER EQUATION authKW 241412 2% 34% 17
9 QUANTUM CLASSICAL COUPLING authKW 214819 1% 86% 6
10 THIRD ORDER ODE authKW 214819 1% 86% 6

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 17729 61% 0% 448
2 Mathematics 3752 32% 0% 231
3 Physics, Mathematical 2735 18% 0% 128
4 Mechanics 113 5% 0% 39
5 Computer Science, Interdisciplinary Applications 70 3% 0% 24
6 Engineering, Electrical & Electronic 65 8% 0% 60
7 Mathematics, Interdisciplinary Applications 29 2% 0% 14
8 Physics, Multidisciplinary 28 5% 0% 34
9 Physics, Fluids & Plasmas 18 2% 0% 13
10 Physics, Applied 9 6% 0% 41

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 UMR 5640 129579 4% 10% 30
2 THEORET MECH SECT 65260 1% 31% 5
3 DIPARTIMENTO ME MO MAT 55307 1% 19% 7
4 MIP 54460 3% 6% 21
5 ANAL SCI COMP 51585 3% 5% 24
6 ANAL SCI COMPUTING 41771 0% 100% 1
7 CAMILLE JORDANISTIL 41771 0% 100% 1
8 CNRSUPSINSA 41771 0% 100% 1
9 CRC MATH MODELING 41771 0% 100% 1
10 DIPARTIMENTO SABI 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 TRANSPORT THEORY AND STATISTICAL PHYSICS 30794 2% 4% 18
2 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 25666 3% 3% 20
3 VLSI DESIGN 18371 2% 3% 14
4 KINETIC AND RELATED MODELS 16685 2% 3% 12
5 COMMUNICATIONS IN MATHEMATICAL SCIENCES 9806 2% 2% 13
6 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 8745 3% 1% 19
7 INTERFACES AND FREE BOUNDARIES 8210 1% 2% 8
8 JOURNAL OF COMPUTATIONAL ELECTRONICS 7814 2% 1% 14
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 5458 3% 1% 22
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 4160 3% 1% 19

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 THIN FILM EQUATION 1305296 7% 63% 50 Search THIN+FILM+EQUATION Search THIN+FILM+EQUATION
2 QUANTUM DRIFT DIFFUSION MODEL 668331 2% 100% 16 Search QUANTUM+DRIFT+DIFFUSION+MODEL Search QUANTUM+DRIFT+DIFFUSION+MODEL
3 QUANTUM HYDRODYNAMICS 609115 5% 42% 35 Search QUANTUM+HYDRODYNAMICS Search QUANTUM+HYDRODYNAMICS
4 QUANTUM DRIFT DIFFUSION 534658 2% 80% 16 Search QUANTUM+DRIFT+DIFFUSION Search QUANTUM+DRIFT+DIFFUSION
5 FOURTH ORDER DEGENERATE PARABOLIC EQUATIONS 400994 2% 80% 12 Search FOURTH+ORDER+DEGENERATE+PARABOLIC+EQUATIONS Search FOURTH+ORDER+DEGENERATE+PARABOLIC+EQUATIONS
6 QUANTUM HYDRODYNAMIC MODEL 306912 2% 57% 13 Search QUANTUM+HYDRODYNAMIC+MODEL Search QUANTUM+HYDRODYNAMIC+MODEL
7 FOURTH ORDER PARABOLIC 250624 1% 100% 6 Search FOURTH+ORDER+PARABOLIC Search FOURTH+ORDER+PARABOLIC
8 WIGNER EQUATION 241412 2% 34% 17 Search WIGNER+EQUATION Search WIGNER+EQUATION
9 QUANTUM CLASSICAL COUPLING 214819 1% 86% 6 Search QUANTUM+CLASSICAL+COUPLING Search QUANTUM+CLASSICAL+COUPLING
10 THIRD ORDER ODE 214819 1% 86% 6 Search THIRD+ORDER+ODE Search THIRD+ORDER+ODE

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 PINNAU, R , (2002) A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL.TRANSPORT THEORY AND STATISTICAL PHYSICS. VOL. 31. ISSUE 4-6. P. 367 -395 40 82% 18
2 FISCHER, J , (2014) UPPER BOUNDS ON WAITING TIMES FOR THE THIN-FILM EQUATION: THE CASE OF WEAK SLIPPAGE.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 211. ISSUE 3. P. 771-818 25 86% 3
3 CHEN, XQ , CHEN, L , SUN, CY , (2011) A SIXTH-ORDER PARABOLIC SYSTEM IN SEMICONDUCTORS.CHINESE ANNALS OF MATHEMATICS SERIES B. VOL. 32. ISSUE 2. P. 265 -278 24 96% 0
4 GIACOMELLI, L , GNANN, MV , KNUPFER, H , OTTO, F , (2014) WELL-POSEDNESS FOR THE NAVIER-SLIP THIN-FILM EQUATION IN THE CASE OF COMPLETE WETTING.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 257. ISSUE 1. P. 15 -81 23 82% 4
5 GIACOMELLI, L , GNANN, MV , OTTO, F , (2016) RIGOROUS ASYMPTOTICS OF TRAVELING-WAVE SOLUTIONS TO THE THIN-FILM EQUATION AND TANNER'S LAW.NONLINEARITY. VOL. 29. ISSUE 9. P. 2497 -2536 30 61% 0
6 FISCHER, J , (2016) BEHAVIOUR OF FREE BOUNDARIES IN THIN-FILM FLOW: THE REGIME OF STRONG SLIPPAGE AND THE REGIME OF VERY WEAK SLIPPAGE.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 33. ISSUE 5. P. 1301 -1327 20 91% 0
7 BUKAL, M , (2016) A FAMILY OF FOURTH-ORDER Q-LOGARITHMIC EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 438. ISSUE 1. P. 142 -161 20 83% 0
8 DREHER, M , SCHNUR, J , (2016) LARGE DATA SOLUTIONS TO THE VISCOUS QUANTUM HYDRODYNAMICMODEL WITH BARRIER POTENTIAL.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 11. P. 3016 -3034 18 90% 0
9 TARANETS, RM , KING, JR , (2014) ON AN UNSTABLE THIN-FILM EQUATION IN MULTI-DIMENSIONAL DOMAINS.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 21. ISSUE 1. P. 105-128 19 86% 2
10 LI, HL , ZHANG, GJ , ZHANG, M , HAO, CC , (2008) LONG-TIME SELF-SIMILAR ASYMPTOTIC OF THE MACROSCOPIC QUANTUM MODELS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 49. ISSUE 7. P. - 19 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 15686 THERMISTOR PROBLEM//SEMICONDUCTOR DESIGN//CAPACITY SOLUTIONS
2 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
3 14336 VLASOV POISSON SYSTEM//VLASOV POISSON EQUATION//VLASOV MAXWELL SYSTEM
4 7592 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
5 15122 RIMMING FLOW//RIVULET FLOW//RIVULET
6 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR
7 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE
8 4067 ENERGY TRANSPORT MODEL//HYDRODYNAMICAL MODELS//SUBMICRON DEVICES
9 6571 DYNAMIC WETTING//MOVING CONTACT LINE//PRECURSOR FILM
10 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT

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