Definition of Biharmonic. Meaning of Biharmonic. Synonyms of Biharmonic

Here you will find one or more explanations in English for the word Biharmonic. Also in the bottom left of the page several parts of wikipedia pages related to the word Biharmonic and, of course, Biharmonic synonyms and on the right images related to the word Biharmonic.

Definition of Biharmonic

No result for Biharmonic. Showing similar results...

Meaning of Biharmonic from wikipedia

- In mathematics, the biharmonic equation is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear...
- In the mathematical field of differential geometry, a biharmonic map is a map between Riemannian or pseudo-Riemannian manifolds which satisfies a certain...
- A biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface...
- 1029/jb076i008p01905. Hardy, R.L. (1990). "Theory and applications of the multiquadric-biharmonic method, 20 years of Discovery, 1968 1988". Comp. Math Applic. 19 (8/9):...
- the screened Poisson equation is given by the Bessel potential. For the Biharmonic equation, [ − Δ 2 ] Φ ( x , x ′ ) = δ ( x − x ′ ) {\displaystyle [-\Delta...
- As a by-product, Chen proposed his longstanding biharmonic conjecture, stating that any biharmonic submanifold in a Euclidean space must be a minimal...
- Cagliari in the fields of differential geometry, global analysis, and biharmonic maps. Montaldo earned his Ph.D. from the University of Leeds in 1996,...
- Coulomb-type potential ( 1 / ‖ x ‖ {\displaystyle 1/\|\mathbf {x} \|} ) and a Biharmonic-type potential ( ‖ x ‖ {\displaystyle \|\mathbf {x} \|} ). The differential...
- Sundberg, Carl-Erik (1994). "Invariant subspaces in Bergman spaces and the biharmonic equation". Michigan Mathematical Journal. 41 (2): 247–59. doi:10.1307/mmj/1029004992...
- \nabla ^{4}\psi =0} or Δ 2 ψ = 0 {\displaystyle \Delta ^{2}\psi =0} (biharmonic equation) Δ {\displaystyle \Delta } is the Laplacian operator in two dimensions...