Results 251 to 260 of about 90,190 (300)

Intrinsic equations of rotational gas flows

open access: yesIsrael Journal of Mathematics, 1967
Considering a vortex line as a C curve in E, equations governing the flow of a steady, compressible gas are expressed in the intrinsic form. These intrinsic relations are applied to derive some geometric properties of rotational motions, and to study a class of flows whose vortex lines form a family of helices on right circular cylinders.
Suryanarayan, E. R.
openaire   +4 more sources

Modeling Beams With Various Boundary Conditions Using Fully Intrinsic Equations

open access: yesJournal of Applied Mechanics, Transactions ASME, 2011
The fully intrinsic equations for beams comprise a relatively new set of equations for nonlinear modeling of structures comprised of beams. These equations are geometrically exact and constitute a closed set of equations even though they include neither ...
Zahra Sotoudeh   +2 more
exaly   +2 more sources

On the Lagrange multipliers of the intrinsic constraint equations of rigid multibody mechanical systems

open access: yesArchive of Applied Mechanics, 2017
This paper deals with the Lagrange multipliers corresponding to the intrinsic constraint equations of rigid multibody mechanical systems. The intrinsic constraint equations are algebraic equations that are associated with nonminimal sets of orientation ...
Carmine Maria Pappalardo   +2 more
exaly   +2 more sources

Intrinsic finite element method for advection-diffusion-reaction equations on surfaces

open access: yesJournal of Computational Physics, 2021
We consider a finite element method for Partial Differential Equations (PDEs) on surfaces. Unlike many previous techniques, this approach is based on a geometrically intrinsic formulation.
Elena Bachini   +2 more
exaly   +2 more sources

An Intrinsic Formulation of the Von Kármán Equations

Communications in Mathematical Analysis and Applications, 2023
To begin with, we identify the intrinsic equations of a von Kármán nonlinearly elastic plate, which allow to directly compute the stresses inside the plate without having to first compute the displacement field, by contrast with the classical displacement approach.
Ciarlet, Philippe G., Mardare, Cristinel
openaire   +2 more sources

A geometrically intrinsic lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data [PDF]

open access: yesApplied Mathematics and Computation, 2023
We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. This work was dictated by the fact that geo-metrically Intrinsic Shallow Water Equations (ISWE) are characterized by non ...
Eduardo Abreu   +2 more
exaly   +2 more sources

Intrinsic geometry of Lax equation

Journal of Interdisciplinary Mathematics, 2003
Abstract In this paper we discuss the intrinsic geometry of Lax equations and we derive the frame Lax equations in a non coordinate (non-holonomic) basis.
C. CATTANI, LASERRA, Ettore
openaire   +2 more sources

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