Search Results - "GROBBELAAR, Marie"
-
1
Revisiting the stabilization of a three‐dimensional hybrid magnetoelastic structure
Published in Mathematical methods in the applied sciences (30-01-2023)“…In this article, we are concerned with the stabilization of a three‐dimensional–two‐dimensional hybrid magnetoelastic structure for a reference configuration…”
Get full text
Journal Article -
2
Polynomial decay rate of a thermoelastic Mindlin–Timoshenko plate model with Dirichlet boundary conditions
Published in Zeitschrift für angewandte Mathematik und Physik (01-02-2015)“…In this article, we are concerned with the polynomial stabilization of a two-dimensional thermoelastic Mindlin–Timoshenko plate model with no mechanical…”
Get full text
Journal Article -
3
Exponential stabilization of magnetoelastic waves in a Mindlin–Timoshenko plate by localized internal damping
Published in Zeitschrift für angewandte Mathematik und Physik (01-08-2015)“…This article is a continuation of our earlier work in Grobbelaar-Van Dalsen (Z Angew Math Phys 63:1047–1065, 2012 ) on the polynomial stabilization of a linear…”
Get full text
Journal Article -
4
Anatomical and pathological considerations in percutaneous vertebroplasty and kyphoplasty: A reappraisal of the vertebral venous system
Published in Spine (Philadelphia, Pa. 1976) (01-07-2004)“…To focus attention of the clinician on the anatomy and (patho)physiology of the vertebral venous system, so as to offer a tool to better understand and…”
Get full text
Journal Article -
5
Is airway diameter measured accurately on routine axial CT scans? Comparison with true axial diameter using MPR in children with airway compression owing to pulmonary TB
Published in SA journal of radiology (01-09-2010)“…Airway compression is a common complication of TB lymphadenopathy in children, and the diagnostic workup of patients with suspected tracheal or bronchial…”
Get full text
Journal Article -
6
On a model for the magnetoelastic vibrations of a perfectly conducting Mindlin-Timoshenko plate
Published in Applicable analysis (25-01-2021)“…This article is a continuation of our earlier work on models for the magnetoelastic interactions of an elastic field and a magnetic field in an electrically…”
Get full text
Journal Article -
7
The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure
Published in Mathematical methods in the applied sciences (30-01-2012)“…In this paper, we are concerned with a model for the magneto–elastic interactions of a three‐dimensional elastic body and a two‐dimensional flexible plate,…”
Get full text
Journal Article -
8
Strong stability for a fluid-structure interaction model
Published in Mathematical methods in the applied sciences (30-07-2009)“…In this paper we consider the question of stabilization of a fluid–structure model that describes the interaction between a 3‐D incompressible fluid and a 2‐D…”
Get full text
Journal Article -
9
Strong stabilization of models incorporating the thermoelastic Reissner-Mindlin plate equations with second sound
Published in Applicable analysis (01-09-2011)“…In this article we are concerned with the strong stabilization of models for the Reissner-Mindlin plate equations with second sound, that is, models that…”
Get full text
Journal Article -
10
Strong stabilization of a structural acoustic model, which incorporates shear and thermal effects in the structural component
Published in Mathematical methods in the applied sciences (01-08-2010)“…In this paper we consider the question of stabilization of a linear three‐dimensional structural acoustic model, which incorporates displacement, rotational…”
Get full text
Journal Article -
11
An analytic semigroup for the magnetoelastic Mindlin-Timoshenko plate model
Published in Applicable analysis (04-04-2017)“…Along with the development of magnetoelastic sensor technology, the subject of magnetoelastic vibrations in plates has attracted considerable interest during…”
Get full text
Journal Article -
12
A new approach to the stabilization of a fluid-structure interaction model
Published in Applicable analysis (01-07-2009)“…This article is a continuation of our work on a linear fluid-structure interaction model [Grobbelaar-Van Dalsen, On a fluid-structure model in which the…”
Get full text
Journal Article -
13
Correction to: On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model
Published in Zeitschrift für angewandte Mathematik und Physik (2017)“…In obtaining in Theorem 4.1 of the original paper, the strong asymptotic decay of the semigroup exp ( - t C - 1 A ) associated with Pr (P), the argumentation…”
Get full text
Journal Article -
14
Stabilization of a thermoelastic Mindlin–Timoshenko plate model revisited
Published in Zeitschrift für angewandte Mathematik und Physik (01-08-2013)“…This paper is a continuation of our work in Grobbelaar-Van Dalsen (Appl Anal 90:1419–1449, 2011 ) where we showed the strong stability of models involving the…”
Get full text
Journal Article -
15
On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model
Published in Zeitschrift für angewandte Mathematik und Physik (01-12-2012)“…In this paper we are concerned with a linear model for the magnetoelastic interactions in a two-dimensional electrically conducting Mindlin-Timoshenko plate…”
Get full text
Journal Article -
16
Uniform stability for the Timoshenko beam with tip load
Published in Journal of mathematical analysis and applications (15-01-2010)“…In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. We show that uniform stabilization…”
Get full text
Journal Article -
17
On a Fluid-Structure Model in Which the Dynamics of the Structure Involves the Shear Stress Due to the Fluid
Published in Journal of mathematical fluid mechanics (01-08-2008)“… In this paper we consider a model for fluid-structure interaction. The hybrid system describes the interaction between an incompressible fluid in a…”
Get full text
Journal Article -
18
Uniform stabilization of a nonlinear structural acoustic model with a Timoshenko beam interface
Published in Mathematical methods in the applied sciences (01-10-2006)“…This paper is concerned with a nonlinear model which describes the interaction of sound and elastic waves in a two‐dimensional acoustic chamber in which one…”
Get full text
Journal Article -
19
On a structural acoustic model which incorporates shear and thermal effects in the structural component
Published in Journal of mathematical analysis and applications (15-05-2008)“…In this paper we consider a structural acoustic model which takes account of thermal effects over and above displacement, rotational inertia and shear effects…”
Get full text
Journal Article -
20
On a structural acoustic model with interface a Reissner–Mindlin plate or a Timoshenko beam
Published in Journal of mathematical analysis and applications (01-08-2006)“…This paper is concerned with a model which describes the interaction of sound and elastic waves in a structural acoustic chamber in which one “wall” is…”
Get full text
Journal Article