biharmonic

biharmonic
Describing a class of fourth-order partial differential equations which arises in areas of continuum mechanics

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  • Biharmonic equation — In mathematics, the biharmonic equation is a fourth order partial differential equation which arises in areas of continuum mechanics, including linear elasticity theory and the solution of Stokes flows. It is written as : abla^4varphi=0where… …   Wikipedia

  • Biharmonic Bézier surface — A Biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface. This formulation for Bézier surfaces was developed by Juan Monterde and Hassan Ugail. In order …   Wikipedia

  • biharmonic equation — biharmoninė lygtis statusas T sritis fizika atitikmenys: angl. biharmonic equation vok. biharmonische Gleichung, f; Bipotentialgleichung, f rus. бигармоническое уравнение, n pranc. équation biharmonique, f …   Fizikos terminų žodynas

  • Linear elasticity — Continuum mechanics …   Wikipedia

  • Hassan Ugail — Dr. Hassan Ugail, PhD is a mathematician and a computer scientist at the School of Informatics; the University of Bradford. Dr Ugail is the first Maldivian to obtain a PhD in Mathematics. Dr Ugail s principal research interests are in the areas… …   Wikipedia

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  • Fundamental solution — In mathematics, a fundamental solution for a linear partial differential operator L is a formulation in the language of distribution theory of the older idea of a Green s function. In terms of the Dirac delta function delta;( x ), a fundamental… …   Wikipedia

  • Navier–Stokes equations — Continuum mechanics …   Wikipedia

  • Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… …   Wikipedia

  • Stokes flow — An object moving through a gas or liquid experiences a force in direction opposite to its motion. Terminal velocity is achieved when the drag force is equal in magnitude but opposite in direction to the force propelling the object. Shown is a… …   Wikipedia

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