We study the some properties of solutions of biharmonic problems. Namely, we study the boundary value problems Navier and Neumann for the biharmonic equation. For solving these biharmonic problems with application we need to solve boundary value problems Dirichlet and Cauchy for the Poisson equation using the scattering model. In order to select suitable solutions, we solve the Poisson equation with the corresponding boundary conditions, that is, some criterion function is minimized in the Sobolev norms. Under appropriate smoothness assumptions, these problems may be reformulated as boundary value problems for the biharmonic equation. The results of this paper are used to study mathematical problems in mechanical models using computational approaches, in particular, their application in advanced technologies in the aerospace and mechanical engineering, as well as in advances in materials science.
Biharmonic Navier and Neumann Problems and Their Application in Mechanical Engineering
G. NordoPenultimo
Investigation
;
2021-01-01
Abstract
We study the some properties of solutions of biharmonic problems. Namely, we study the boundary value problems Navier and Neumann for the biharmonic equation. For solving these biharmonic problems with application we need to solve boundary value problems Dirichlet and Cauchy for the Poisson equation using the scattering model. In order to select suitable solutions, we solve the Poisson equation with the corresponding boundary conditions, that is, some criterion function is minimized in the Sobolev norms. Under appropriate smoothness assumptions, these problems may be reformulated as boundary value problems for the biharmonic equation. The results of this paper are used to study mathematical problems in mechanical models using computational approaches, in particular, their application in advanced technologies in the aerospace and mechanical engineering, as well as in advances in materials science.File | Dimensione | Formato | |
---|---|---|---|
Biharmonic Navier and Neumann Problems and Their Application in Mechanical Engineering_LOJM1876.pdf
solo utenti autorizzati
Descrizione: Biharmonic Navier and Neumann Problems and Their Application in Mechanical Engineering
Tipologia:
Versione Editoriale (PDF)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
495.7 kB
Formato
Adobe PDF
|
495.7 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.