Uncorrect Problems in Mechanics

Authors: Zhuravlyov V.F. Published: 12.04.2017
Published in issue: #2(113)/2017  
DOI: 10.18698/0236-3933-2017-2-77-85

Category: Informatics, Computer Engineering and Control | Chapter: System Analysis, Control, and Information Processing  
Keywords: uncorrect problems, dry friction, flutter

The concept of uncorrect statement of initial and boundary value problems for partial differential equations (PDE) was introduced by Hadamard. He presented the first example of an uncorrect statement of the problem for a specific PDE. Meanwhile, examples of uncorrect statement of the problem exist in all branches of mechanics. Hadamard and some of his followers believed that an uncorrect statement of the problem does not make physical sense and such problems should not be solved. This paper gives some examples of uncorrect statements of mechanics problems. It also shows that if a problem has an applied character, the overcoming of uncorrectness in mathematical sense can help to improve the design in practice. The latter fact may justify the studying of uncorrect problems.


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