Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer
S. G. Pyatkov, V. A. Baranchuk
Abstract
Abstract We study the Sobolev space well-posedness of inverse problems of determining the heat transfer coefficient contained in a Robin-type boundary condition for the convection-diffusion equations. We prove an existence and uniqueness theorem for the solutions.
Topics & Concepts
MathematicsSobolev spaceUniquenessHeat transfer coefficientMathematical analysisMass transferMass transfer coefficientSpace (punctuation)Heat transferThermodynamicsPhysicsPhilosophyLinguisticsNumerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary Problems