scholarly journals Determining a first order perturbation of the biharmonic operator by partial boundary measurements

2012 ◽  
Vol 262 (4) ◽  
pp. 1781-1801 ◽  
Author(s):  
Katsiaryna Krupchyk ◽  
Matti Lassas ◽  
Gunther Uhlmann
Keyword(s):  
Order Perturbation ◽  
Biharmonic Operator ◽  
First Order ◽  
Boundary Measurements ◽  
First Order Perturbation

scholarly journals An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator

2021 ◽  
Author(s):  
Sombuddha Bhattacharyya ◽  
Tuhin Ghosh
Keyword(s):  
Inverse Problem ◽  
Vector Field ◽  
Symmetric Matrix ◽  
Symmetric Tensor ◽  
Second Order ◽  
Order Perturbation ◽  
Biharmonic Operator ◽  
First Order ◽  
Dirichlet To Neumann Map ◽  
First Order Perturbation

AbstractThis article offers a study of the Calderón type inverse problem of determining up to second order coefficients of higher order elliptic operators. Here we show that it is possible to determine an anisotropic second order perturbation given by a symmetric matrix, along with a first order perturbation given by a vector field and a zero-th order potential function inside a bounded domain, by measuring the Dirichlet to Neumann map of the perturbed biharmonic operator on the boundary of that domain.

Note on Interference Effects in Two-Step Reaction Processes

1975 ◽  
Vol 53 (23) ◽  
pp. 2590-2592
Author(s):  
J. Cejpek ◽  
J. Dobeš
Keyword(s):  
Perturbation Theory ◽  
Point Of View ◽  
Order Perturbation ◽  
Interference Effects ◽  
Qualitative Explanation ◽  
First Order ◽  
One Step ◽  
Step Transition ◽  
Reaction Processes ◽  
First Order Perturbation

The reaction processes in which a one-step transition is forbidden are analyzed from the point of view of the first order perturbation theory. The interference between two competing two-step reaction paths is found to be always constructive. A qualitative explanation of the experimentally observed reaction intensities is presented.

Analysis of Pneumatic Instability of Externally Pressurized Porous Gas Journal Bearings

1979 ◽  
Vol 101 (1) ◽  
pp. 48-53 ◽  
Author(s):  
N. S. Rao ◽  
B. C. Majumdar
Keyword(s):  
Theoretical Analysis ◽  
Mass Parameter ◽  
Journal Bearings ◽  
Order Perturbation ◽  
Rigid Rotor ◽  
Eccentricity Ratio ◽  
Dynamic Displacement ◽  
First Order ◽  
Supply Pressure ◽  
First Order Perturbation

A theoretical analysis is presented for the study of pneumatic instability for a rigid rotor supported in externally pressurized porous gas journal bearings. The analysis is based on a first-order perturbation with respect to the amplitude of dynamic displacement of rotor. The variation of threshold mass parameter with feeding parameter is shown. In addition, the effects of supply pressure, eccentricity ratio, L/D ratio, and porosity parameter are investigated and presented in the form of graphs.

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