scholarly journals Exponential stability for a piezoelectric beam with a magnetic effect and past history

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Manoel J. Dos Santos ◽  
João C. P. Fortes ◽  
Marcos L. Cardoso

<p style='text-indent:20px;'>Solutions for systems consisting of coupled wave equations, one of them with past history, may present different behaviors due to the type of coupling. In this paper, the issue of exponential stability for a piezoelectric beam with magnetic effect and past history is analyzed. In the work is proved that the past history term acting on the longitudinal motion equation is sufficient to cause the exponential decay of the semigroup associated with the system, independent of any relation involving the model coefficients.</p>

2009 ◽  
Vol 95 (3) ◽  
pp. 589-596 ◽  
Author(s):  
K. R. Daly ◽  
G. D’Alessandro ◽  
M. Kaczmarek

2013 ◽  
Vol 87 (12) ◽  
pp. 1233-1241 ◽  
Author(s):  
E. V. Krishnan ◽  
A. H. Kara ◽  
S. Kumar ◽  
A. Biswas

1877 ◽  
Vol 25 (171-178) ◽  

George Poulett Scrope. It is scarcely possible at the present day to realize the conditions of that intellectual “reign of terror” which prevailed at the commencement of the present century, as the consequence of the unreasoning prejudice and wild alarm excited by the early progress of geological inquiry. At that period, every attempt to explain the past history of the earth by a reference to the causes still in operation upon it was met, not by argument, but by charges of atheism against its propounder; and thus Hutton’s masterly fragment of a ‘Theory of the Earth,’ Playfair’s persuasive‘ Illustrations,’ and Hall’s records of accurate observation and ingenious experiment had come to be inscribed m a social Index Expurgatorius ,and for a while, indeed, might have seemed to be consigned to total oblivion. Equally injurious suspicions were aroused against the geologist who dared to make allusion to the important part which igneous forces have undoubtedly played in the formation of certain rocks; for the authority of Werner had acquired an almost sacred cha­racter; and “ Vulcanists ” and “ Huttonians ” were equally objects of aversion and contempt. To two men who have very recently—and within a few months of one another—passed away from our midst, science is indebted for boldly en­countering and successfully overcoming this storm of prejudice. Hutton and his friends lived a generation too soon ; and thus it was reserved tor Lyell and Scrope to carry out the task which the great Scotch philosopher had failed to accomplish, namely, the removal of geology from the domain of speculation to that of inductive science.


2006 ◽  
Vol 8 (2) ◽  
pp. 124-146
Author(s):  
Susan Hardy ◽  
Anthony Corones

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