KnowraEuler equationsLinked fromLinked fromThe 16 pages that link to Euler equations, each with the reason it gives.All 16Broader topic 2Related 10Narrower topic 2Compared with 2Navier–Stokes equationsCompared with: They arise when viscous stresses are omitted from the Navier–Stokes momentum balance.Bernoulli's principleRelated: Their streamline energy relation yields Bernoulli's equation under suitable steady-flow conditions.Daniel BernoulliRelated: They provide a general mathematical description of fluid motion beyond Bernoulli’s streamline relation.CurlRelated: Their rotational form tracks how curl of velocity changes in ideal flow.Finite volume methodRelated: Their shock-containing solutions are often computed with finite volume flux schemes.Hyperbolic partial differential equationRelated: Their hyperbolic regimes describe finite-speed transport of fluid disturbances.Dynamic stochastic general equilibriumBroader topic: Household and firm optimality conditions translate forward-looking choices into model equations.Kelvin's circulation theoremRelated: Their momentum balance supplies the time derivative of circulation.Cauchy momentum equationBroader topic: Neglecting viscous stress gives this fluid-flow form of the balance.Kutta–Joukowski theoremRelated: They provide a governing-equation route to the theorem for ideal flow.Bondi accretionNarrower topic: Bondi's steady flow follows from applying these fluid equations under spherical symmetry.Vladimir ArnoldRelated: Arnold interpreted ideal-fluid equations through geometric mechanics on groups of transformations.Hydrodynamic modelCompared with: They form a less dissipative alternative when viscosity can be neglected or modeled separately.Nikolay ZhukovskyRelated: They underpin the idealized flow models used in classical lift theory.Cathleen Synge MorawetzRelated: Their mixed-type behavior in transonic regimes motivated major parts of her early research.Crocco's theoremNarrower topic: Crocco's theorem follows from steady inviscid momentum balance and thermodynamic identities.
KnowraEuler equationsLinked fromLinked fromThe 16 pages that link to Euler equations, each with the reason it gives.All 16Broader topic 2Related 10Narrower topic 2Compared with 2Navier–Stokes equationsCompared with: They arise when viscous stresses are omitted from the Navier–Stokes momentum balance.Bernoulli's principleRelated: Their streamline energy relation yields Bernoulli's equation under suitable steady-flow conditions.Daniel BernoulliRelated: They provide a general mathematical description of fluid motion beyond Bernoulli’s streamline relation.CurlRelated: Their rotational form tracks how curl of velocity changes in ideal flow.Finite volume methodRelated: Their shock-containing solutions are often computed with finite volume flux schemes.Hyperbolic partial differential equationRelated: Their hyperbolic regimes describe finite-speed transport of fluid disturbances.Dynamic stochastic general equilibriumBroader topic: Household and firm optimality conditions translate forward-looking choices into model equations.Kelvin's circulation theoremRelated: Their momentum balance supplies the time derivative of circulation.Cauchy momentum equationBroader topic: Neglecting viscous stress gives this fluid-flow form of the balance.Kutta–Joukowski theoremRelated: They provide a governing-equation route to the theorem for ideal flow.Bondi accretionNarrower topic: Bondi's steady flow follows from applying these fluid equations under spherical symmetry.Vladimir ArnoldRelated: Arnold interpreted ideal-fluid equations through geometric mechanics on groups of transformations.Hydrodynamic modelCompared with: They form a less dissipative alternative when viscosity can be neglected or modeled separately.Nikolay ZhukovskyRelated: They underpin the idealized flow models used in classical lift theory.Cathleen Synge MorawetzRelated: Their mixed-type behavior in transonic regimes motivated major parts of her early research.Crocco's theoremNarrower topic: Crocco's theorem follows from steady inviscid momentum balance and thermodynamic identities.