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- Continuity_equation abstract "A continuity equation in physics is an equation that describes the transport of some quantity. It is particularly simple and particularly powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations.Continuity equations are a stronger, local form of conservation laws. For example, a weak version of the law of conservation of energy states that energy can neither be created nor destroyed—i.e., the total amount of energy is fixed. This statement does not immediately rule out the possibility that energy could disappear from a field in Canada while simultaneously appearing in a room in Indonesia. A stronger statement is that energy is locally conserved: Energy can neither be created nor destroyed, nor can it \"teleport\" from one place to another—it can only move by a continuous flow. A continuity equation is the mathematical way to express this kind of statement. For example, the continuity equation for electric charge states that the amount of electric charge at any point can only change by the amount of electric current flowing into or out of that point.Continuity equations more generally can include \"source\" and \"sink\" terms, which allow them to describe quantities that are often but not always conserved, such as the density of a molecular species which can be created or destroyed by chemical reactions. In an everyday example, there is a continuity equation for the number of people alive; it has a \"source term\" to account for people being born, and a \"sink term\" to account for people dying.Any continuity equation can be expressed in an \"integral form\" (in terms of a flux integral), which applies to any finite region, or in a \"differential form\" (in terms of the divergence operator) which applies at a point.Continuity equations underlie more specific transport equations such as the convection–diffusion equation, Boltzmann transport equation, and Navier–Stokes equations.".
- Continuity_equation thumbnail Continuity_eqn_open_surface.svg?width=300.
- Continuity_equation wikiPageID "410793".
- Continuity_equation wikiPageLength "25391".
- Continuity_equation wikiPageOutDegree "131".
- Continuity_equation wikiPageRevisionID "706953315".
- Continuity_equation wikiPageWikiLink Advection.
- Continuity_equation wikiPageWikiLink Ampere.
- Continuity_equation wikiPageWikiLink Ampxc3xa8res_circuital_law.
- Continuity_equation wikiPageWikiLink Angular_momentum.
- Continuity_equation wikiPageWikiLink Baryon_number.
- Continuity_equation wikiPageWikiLink Boltzmann_equation.
- Continuity_equation wikiPageWikiLink Brownian_motion.
- Continuity_equation wikiPageWikiLink Category:Conservation_equations.
- Continuity_equation wikiPageWikiLink Category:Equations_of_fluid_dynamics.
- Continuity_equation wikiPageWikiLink Category:Partial_differential_equations.
- Continuity_equation wikiPageWikiLink Charge_conservation.
- Continuity_equation wikiPageWikiLink Charge_density.
- Continuity_equation wikiPageWikiLink Color_charge.
- Continuity_equation wikiPageWikiLink Complex_conjugate.
- Continuity_equation wikiPageWikiLink Conservation_form.
- Continuity_equation wikiPageWikiLink Conservation_law.
- Continuity_equation wikiPageWikiLink Conservation_of_energy.
- Continuity_equation wikiPageWikiLink Conserved_quantity.
- Continuity_equation wikiPageWikiLink Continuous_symmetry.
- Continuity_equation wikiPageWikiLink Convection–diffusion_equation.
- Continuity_equation wikiPageWikiLink Coulomb.
- Continuity_equation wikiPageWikiLink Covariant_derivative.
- Continuity_equation wikiPageWikiLink Current_density.
- Continuity_equation wikiPageWikiLink Density.
- Continuity_equation wikiPageWikiLink Deterministic_system.
- Continuity_equation wikiPageWikiLink Dimension.
- Continuity_equation wikiPageWikiLink Dissipative_system.
- Continuity_equation wikiPageWikiLink Divergence.
- Continuity_equation wikiPageWikiLink Divergence_theorem.
- Continuity_equation wikiPageWikiLink Einstein_field_equations.
- Continuity_equation wikiPageWikiLink Electric_charge.
- Continuity_equation wikiPageWikiLink Electric_current.
- Continuity_equation wikiPageWikiLink Energy.
- Continuity_equation wikiPageWikiLink Energy_density.
- Continuity_equation wikiPageWikiLink Energy_flux.
- Continuity_equation wikiPageWikiLink Equation.
- Continuity_equation wikiPageWikiLink Euler_equations_(fluid_dynamics).
- Continuity_equation wikiPageWikiLink Flow_velocity.
- Continuity_equation wikiPageWikiLink Fluid.
- Continuity_equation wikiPageWikiLink Fluid_dynamics.
- Continuity_equation wikiPageWikiLink Flux.
- Continuity_equation wikiPageWikiLink Four-current.
- Continuity_equation wikiPageWikiLink Four-gradient.
- Continuity_equation wikiPageWikiLink Four-vector.
- Continuity_equation wikiPageWikiLink Friction.
- Continuity_equation wikiPageWikiLink Gausss_law.
- Continuity_equation wikiPageWikiLink Gausss_law_for_gravity.
- Continuity_equation wikiPageWikiLink General_relativity.
- Continuity_equation wikiPageWikiLink Gluon.
- Continuity_equation wikiPageWikiLink Gluon_field_strength_tensor.
- Continuity_equation wikiPageWikiLink Heat_equation.
- Continuity_equation wikiPageWikiLink Heat_transfer.
- Continuity_equation wikiPageWikiLink Incompressible_flow.
- Continuity_equation wikiPageWikiLink Index_notation.
- Continuity_equation wikiPageWikiLink Intensive_and_extensive_properties.
- Continuity_equation wikiPageWikiLink Isospin.
- Continuity_equation wikiPageWikiLink Joule_heating.
- Continuity_equation wikiPageWikiLink Laplace_operator.
- Continuity_equation wikiPageWikiLink Lepton_number.
- Continuity_equation wikiPageWikiLink Lorentz_covariance.
- Continuity_equation wikiPageWikiLink Magnetic_monopole.
- Continuity_equation wikiPageWikiLink Mass.
- Continuity_equation wikiPageWikiLink Maxwells_equations.
- Continuity_equation wikiPageWikiLink Momentum.
- Continuity_equation wikiPageWikiLink Navier–Stokes_equations.
- Continuity_equation wikiPageWikiLink Noethers_theorem.
- Continuity_equation wikiPageWikiLink Operator_(mathematics).
- Continuity_equation wikiPageWikiLink Partial_derivative.
- Continuity_equation wikiPageWikiLink Particle.
- Continuity_equation wikiPageWikiLink Position_and_momentum_space.
- Continuity_equation wikiPageWikiLink Potential.
- Continuity_equation wikiPageWikiLink Probability.
- Continuity_equation wikiPageWikiLink Probability_current.
- Continuity_equation wikiPageWikiLink Probability_density_function.
- Continuity_equation wikiPageWikiLink Probability_distribution.
- Continuity_equation wikiPageWikiLink Quantum_mechanics.
- Continuity_equation wikiPageWikiLink Quark.
- Continuity_equation wikiPageWikiLink Schrödinger_equation.
- Continuity_equation wikiPageWikiLink Spacetime.
- Continuity_equation wikiPageWikiLink Special_relativity.
- Continuity_equation wikiPageWikiLink Speed_of_light.
- Continuity_equation wikiPageWikiLink Steady_state.
- Continuity_equation wikiPageWikiLink Stress–energy_tensor.
- Continuity_equation wikiPageWikiLink Surface.
- Continuity_equation wikiPageWikiLink Surface_integral.
- Continuity_equation wikiPageWikiLink Tensor_field.
- Continuity_equation wikiPageWikiLink Tensors_in_curvilinear_coordinates.
- Continuity_equation wikiPageWikiLink Thermal_conduction.
- Continuity_equation wikiPageWikiLink Vector_field.
- Continuity_equation wikiPageWikiLink Volume.
- Continuity_equation wikiPageWikiLink Wave_function.
- Continuity_equation wikiPageWikiLink File:Continuity_eqn_open_surface.svg.
- Continuity_equation wikiPageWikiLink File:SurfacesWithAndWithoutBoundary.svg.
- Continuity_equation wikiPageWikiLinkText "''sinks''".