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Stefan problem

In mathematics and its applications, particularly to phase transitions in matter, a Stefan problem is a particular kind of boundary value problem for a system of partial differential equations (PDE), in which the boundary between the phases can move with time. The classical Stefan problem aims to describe the evolution of the boundary between two phases…

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Historical note

Josef StefanPhysicistLaméClapeyronSimilarity solution
6 related topics

Premises to the mathematical description

InterfacesSurfacesClosureVelocityHeat transfer
11 related topics

Applications

Cahn–Hilliard equationNeumann boundary conditionsCurve
3 related topics

Mathematical formulation

Non-dimensionalSensible heatThisTranscendental equation
4 related topics

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Historical note

Premises to the mathematical description

Mathematical formulation

Applications

Advanced forms of Stefan problem

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Map overview Semantic statistics

Stefan problem

Nodes43
Edges42
Triples49
Avg. degree1.95
Density0.046512
Components1

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Stefan problem

Top relations

has application · 13
Stefan problem → Additionally, Also, Apart, Application, Cahn, Cahn-Hilliard, Călușaru, For, Hilliard, In, Neumann, Pego, Stefan
related to Historical note · 12
Stefan problem → Clapeyron, Earth's, However, Josef Stefan, Jožef Stefan, Lamé, Neumann, Rubinstein, Slovenian, Stefan, Stefan's, The
related to Advanced forms of Stefan problem · 11
Stefan problem → Font, Fourier's, Further, Guyer-Krumhansl, In, It, Nanoscale, Solidification, Stefan, The, With
related to External links · 6
Stefan problem → EMS Press, EMS PressVasil'ev, Encyclopedia, Mathematics, Stefan, Vasil'ev
related to The one-dimensional one-phase Stefan problem · 6
Stefan problem → Consider, Stefan, The, The Stefan, This, Typically
is a · 1
Stefan problem → particular kind of boundary value problem for a system of partial differential equations

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Important terminology

stefan problem phase temperature boundary change problems phases may interface equation ice melting mathematical displaystyle heat condition energy solutions example

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stefan problemis aparticular kind of boundary value problem for a system of partial differential equations0.90text
Stefan problemhas applicationApart0.60section
Stefan problemhas applicationStefan0.60section
Stefan problemhas applicationFor0.60section
Stefan problemhas applicationPego0.60section
Stefan problemhas applicationCahn-Hilliard0.60section
Stefan problemhas applicationAdditionally0.60section
Stefan problemhas applicationCahn0.60section
Stefan problemhas applicationHilliard0.60section
Stefan problemhas applicationIn0.60section
Stefan problemhas applicationNeumann0.60section
Stefan problemhas applicationAlso0.60section

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