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Reynolds transport theorem: derivatives of time-dependent volume integrals
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The time derivative of a volume integral often appears in physics, particularly in the context of conservation laws and field theories.
For example, in electromagnetism, the continuity equation relates the time derivative of the charge density to the divergence of the current density.
The derivation shown in the video is an informal way of thinking about the transport theorem (which is related to time-dependent volume integrals)
#MathematicalTheory #Mathematics #STEMEducation #AdvancedMath #physics #physicist #mathlover #fluidmechanics #IntegralCalculus #MassConservation #ReynoldsTransportTheorem #FluidDynamics #volumeintegrals
For example, in electromagnetism, the continuity equation relates the time derivative of the charge density to the divergence of the current density.
The derivation shown in the video is an informal way of thinking about the transport theorem (which is related to time-dependent volume integrals)
#MathematicalTheory #Mathematics #STEMEducation #AdvancedMath #physics #physicist #mathlover #fluidmechanics #IntegralCalculus #MassConservation #ReynoldsTransportTheorem #FluidDynamics #volumeintegrals
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