Class information for:
Level 1: THERMISTOR PROBLEM//SEMICONDUCTOR DESIGN//CAPACITY SOLUTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15686 698 19.5 40%


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
15686 1                   THERMISTOR PROBLEM//SEMICONDUCTOR DESIGN//CAPACITY SOLUTIONS 698

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 THERMISTOR PROBLEM authKW 787421 3% 100% 18
2 SEMICONDUCTOR DESIGN authKW 224976 1% 86% 6
3 CAPACITY SOLUTIONS authKW 218728 1% 100% 5
4 MULTIPLE SCALING ASYMPTOTIC EXPANSIONS authKW 218728 1% 100% 5
5 DRIFT DIFFUSION EQUATIONS authKW 196834 2% 30% 15
6 DRIFT DIFFUSION PROCESSES authKW 182272 1% 83% 5
7 MOTION OF CHARGED PARTICLES authKW 182272 1% 83% 5
8 HYBRID BIO ARTIFICIAL SYSTEMS authKW 131237 0% 100% 3
9 INTEGRO DIFFERENTIAL BOUNDARY VALUE PROBLEMS authKW 131237 0% 100% 3
10 IONIC ELECTRICAL COUPLING authKW 131237 0% 100% 3

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 25433 75% 0% 522
2 Mathematics 4823 36% 0% 254
3 Mechanics 122 6% 0% 39
4 Computer Science, Interdisciplinary Applications 91 4% 0% 26
5 Physics, Mathematical 54 3% 0% 22
6 Mathematics, Interdisciplinary Applications 52 2% 0% 17
7 Engineering, General 26 2% 0% 14
8 Computer Science, Software Engineering 15 2% 0% 11
9 Automation & Control Systems 9 1% 0% 8
10 Engineering, Electrical & Electronic 6 5% 0% 32

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 CMAF FCUL 87491 0% 100% 2
2 CAMILLE JORDONUMR 5208 43746 0% 100% 1
3 DEN DANS DPC SCCME LECA 43746 0% 100% 1
4 DEP EGT 43746 0% 100% 1
5 DIPARTIMENTO MATEMAT P BRIO I 43746 0% 100% 1
6 FSK 43746 0% 100% 1
7 ICN WN CS EK D13 43746 0% 100% 1
8 MAT NAT WISSEN FAK 2 43746 0% 100% 1
9 MATEMAT ULISSE DINI 43746 0% 100% 1
10 MATH INTERDISCIPLINARY SCILSEC 43746 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 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 22871 4% 2% 30
2 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 9953 4% 1% 29
3 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 9493 4% 1% 28
4 IMA JOURNAL OF APPLIED MATHEMATICS 7724 2% 1% 16
5 QUARTERLY OF APPLIED MATHEMATICS 6907 2% 1% 16
6 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 6710 1% 2% 10
7 SIAM JOURNAL ON APPLIED MATHEMATICS 6111 3% 1% 22
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 5475 6% 0% 39
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 3501 1% 1% 8
10 JOURNAL OF DIFFERENTIAL EQUATIONS 2909 3% 0% 22

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 THERMISTOR PROBLEM 787421 3% 100% 18 Search THERMISTOR+PROBLEM Search THERMISTOR+PROBLEM
2 SEMICONDUCTOR DESIGN 224976 1% 86% 6 Search SEMICONDUCTOR+DESIGN Search SEMICONDUCTOR+DESIGN
3 CAPACITY SOLUTIONS 218728 1% 100% 5 Search CAPACITY+SOLUTIONS Search CAPACITY+SOLUTIONS
4 MULTIPLE SCALING ASYMPTOTIC EXPANSIONS 218728 1% 100% 5 Search MULTIPLE+SCALING+ASYMPTOTIC+EXPANSIONS Search MULTIPLE+SCALING+ASYMPTOTIC+EXPANSIONS
5 DRIFT DIFFUSION EQUATIONS 196834 2% 30% 15 Search DRIFT+DIFFUSION+EQUATIONS Search DRIFT+DIFFUSION+EQUATIONS
6 DRIFT DIFFUSION PROCESSES 182272 1% 83% 5 Search DRIFT+DIFFUSION+PROCESSES Search DRIFT+DIFFUSION+PROCESSES
7 MOTION OF CHARGED PARTICLES 182272 1% 83% 5 Search MOTION+OF+CHARGED+PARTICLES Search MOTION+OF+CHARGED+PARTICLES
8 HYBRID BIO ARTIFICIAL SYSTEMS 131237 0% 100% 3 Search HYBRID+BIO+ARTIFICIAL+SYSTEMS Search HYBRID+BIO+ARTIFICIAL+SYSTEMS
9 INTEGRO DIFFERENTIAL BOUNDARY VALUE PROBLEMS 131237 0% 100% 3 Search INTEGRO+DIFFERENTIAL+BOUNDARY+VALUE+PROBLEMS Search INTEGRO+DIFFERENTIAL+BOUNDARY+VALUE+PROBLEMS
10 IONIC ELECTRICAL COUPLING 131237 0% 100% 3 Search IONIC+ELECTRICAL+COUPLING Search IONIC+ELECTRICAL+COUPLING

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 ALLEGRETTO, W , (2003) DRIFT-DIFFUSION EQUATIONS AND APPLICATIONS.MATHEMATICAL PROBLEMS IN SEMINCONDUCTOR PHYSICS. VOL. 1823. ISSUE . P. 57 -95 55 75% 2
2 MONTESINOS, MTG , GALLEGO, FO , (2007) THE EVOLUTION THERMISTOR PROBLEM UNDER THE WIEDEMANN-FRANZ LAW WITH METALLIC CONDUCTION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 8. ISSUE 4. P. 901-923 19 100% 3
3 HRYNKIV, V , (2009) OPTIMAL BOUNDARY CONTROL FOR A TIME DEPENDENT THERMISTOR PROBLEM.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 15 100% 0
4 BERMUDEZ, A , MUNOZ-SOLA, R , PENA, F , (2013) EXISTENCE OF A SOLUTION FOR A THERMOELECTRIC MODEL WITH SEVERAL PHASE CHANGES AND A CARATHEODORY THERMAL CONDUCTIVITY.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 14. ISSUE 6. P. 2212-2230 18 72% 1
5 ZHU, J , ZHANG, JS , LOULA, AFD , BEVILACQUA, L , (2013) MIXED VARIATIONAL FORMULATION AND NUMERICAL ANALYSIS OF THERMALLY COUPLED NONLINEAR DARCY FLOWS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 51. ISSUE 5. P. 2746 -2772 18 72% 0
6 FERNANDEZ, JR , (2006) NUMERICAL ANALYSIS OF THE QUASISTATIC THERMOVISCOELASTIC THERMISTOR PROBLEM.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. VOL. 40. ISSUE 2. P. 353 -366 16 89% 1
7 LI, G , WANG, H , ZHU, J , (2011) ON A NONSTATIONARY NONLINEAR COUPLED SYSTEM.COMPUTATIONAL & APPLIED MATHEMATICS. VOL. 30. ISSUE 3. P. 517-542 15 83% 0
8 XU, XS , (2000) ON THE EXISTENCE OF BOUNDED TEMPERATURE IN THE THERMISTOR PROBLEM WITH DEGENERACY.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 42. ISSUE 2. P. 199-213 16 100% 8
9 RI, J , HUANG, FM , (2009) VACUUM SOLUTION AND QUASINEUTRAL LIMIT OF SEMICONDUCTOR DRIFT-DIFFUSION EQUATION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 246. ISSUE 4. P. 1523 -1538 13 93% 1
10 AMMI, MRS , TORRES, DFM , (2012) OPTIMAL CONTROL OF NONLOCAL THERMISTOR EQUATIONS.INTERNATIONAL JOURNAL OF CONTROL. VOL. 85. ISSUE 11. P. 1789 -1801 12 92% 0

Classes with closest relation at Level 1


Rank Class id link
1 15104 THIN FILM EQUATION//QUANTUM DRIFT DIFFUSION MODEL//QUANTUM HYDRODYNAMICS
2 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
3 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
4 4067 ENERGY TRANSPORT MODEL//HYDRODYNAMICAL MODELS//SUBMICRON DEVICES
5 8973 KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS
6 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
7 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
8 16611 EXPONENTIAL ACCURACY//METHOD OF AUXILIARY MAPPING//CORNER SINGULARITY
9 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD
10 22996 INDUCTION SURFACE HARDENING//INDUCTION HARDENING//INDUCTION HEATING

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