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Continuous dependence and convergence for a Kelvin–Voigt fluid of order one

Brian Straughan

2021ANNALI DELL UNIVERSITA DI FERRARA30 citationsDOIOpen Access PDF

Abstract

Abstract It is shown that the solution to the boundary - initial value problem for a Kelvin–Voigt fluid of order one depends continuously upon the Kelvin–Voigt parameters, the viscosity, and the viscoelastic coefficients. Convergence of a solution is also shown.

Topics & Concepts

ViscoelasticityKelvin–Voigt materialViscosityConvergence (economics)Boundary value problemMathematical analysisMechanicsOrder (exchange)PhysicsMathematicsClassical mechanicsThermodynamicsFinanceEconomic growthEconomicsRheology and Fluid Dynamics StudiesThermoelastic and Magnetoelastic PhenomenaAdvanced Mathematical Modeling in Engineering
Continuous dependence and convergence for a Kelvin–Voigt fluid of order one | Litcius