Stefan problem

E298871
free boundary problem mathematical problem partial differential equation model

The Stefan problem is a classical mathematical model in heat transfer that describes how phase-change boundaries, such as the interface between ice and water, move over time.

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All labels observed (3)

Label Occurrences
Stefan condition 2
Laplacian growth 1
Stefan problem canonical 1

Statements (49)

Predicate Object
instanceOf free boundary problem ⓘ
mathematical problem ⓘ
partial differential equation model ⓘ
application casting processes ⓘ
cryosurgery modeling ⓘ
food freezing ⓘ
glaciology ⓘ
melting of ice ⓘ
permafrost thawing ⓘ
solidification of metals ⓘ
assumes energy conservation at the moving interface ⓘ
boundaryType free boundary ⓘ
moving boundary ⓘ
canBe one-phase Stefan problem ⓘ
two-phase Stefan problem ⓘ
dependsOn density ⓘ
latent heat of phase change ⓘ
specific heat ⓘ
thermal conductivity ⓘ
describes interface between solid and liquid phases ⓘ
melting ⓘ
motion of phase boundaries ⓘ
phase-change processes ⓘ
solidification ⓘ
field applied mathematics ⓘ
heat transfer ⓘ
mathematical physics ⓘ
governingEquations heat equation ⓘ
governs speed of the phase-change front ⓘ
includesCondition Stefan problem self-linksurface differs ⓘ
surface form: Stefan condition
mathematicalNature nonlinear problem ⓘ
namedAfter Josef Stefan ⓘ
originCentury 19th century ⓘ
relatedConcept Stefan problem self-linksurface differs ⓘ
surface form: Stefan condition

free boundary problem ⓘ
heat equation ⓘ
latent heat ⓘ
solutionMethod front-tracking numerical methods ⓘ
level-set methods ⓘ
phase-field methods ⓘ
similarity solutions ⓘ
variational inequalities ⓘ
spatialDimension multi-dimensional form ⓘ
one-dimensional form ⓘ
timeDependent true ⓘ
typicalInterface interface between ice and water ⓘ
unknowns moving boundary position ⓘ
temperature field ⓘ
usedIn mathematical modeling of phase transitions ⓘ

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Josef Stefan → knownFor → Stefan problem ⓘ
Saffman–Taylor instability → relatedTo → Stefan problem ⓘ
this entity surface form: Laplacian growth
Stefan problem → includesCondition → Stefan problem self-linksurface differs ⓘ
this entity surface form: Stefan condition
Stefan problem → relatedConcept → Stefan problem self-linksurface differs ⓘ
this entity surface form: Stefan condition