evolution equation

C3713
concept

An evolution equation is a mathematical expression, typically a differential or integral equation, that describes how a system’s state changes over time according to specified dynamical rules.

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All labels observed (6)

Label Occurrences
differential equation 6
kinetic equation 6
evolution equation canonical 4

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: evolution equation
Generated description
An evolution equation is a mathematical expression, typically a differential or integral equation, that describes how a system’s state changes over time according to specified dynamical rules.

Instances (21)

Instance Via concept surface
Pauli equation equation in quantum mechanics
Dirac equation equation in quantum mechanics
Vlasov equation (for long-range interactions and negligible collisions)
surface form: Vlasov equation
kinetic equation
Boltzmann–BGK equation kinetic equation
Kähler–Ricci flow —
Tolman–Oppenheimer–Volkoff equation differential equation
Raychaudhuri equation differential equation
Lippmann–Schwinger equation equation in quantum mechanics
Korteweg–De Vries equation —
Boltzmann–Kac equation kinetic equation
Butler–Volmer equation kinetic equation
Boltzmann equation kinetic equation
Ricci flow geometric evolution equation
Kolmogorov backward equation equation in stochastic processes
Fuchsian differential equation differential equation
Hermite
surface form: Hermite differential equation
differential equation
Smoluchowski coagulation equation kinetic equation
Euler–Lagrange equation differential equation
Liouville–von Neumann equation —
Fokker–Planck equation —
Liouville equation differential equation