DEVELOPMENT OF THE PRINCIPLE FOR THE ACTUAL STATE OF A PHYSICAL SYSTEM

The energy principle for the actual state of a physical system with distributed parameters is formulated using the example of problems formulations in linear theories, fluid, and thermal conductivity. It is shown that if the system state variables are chosen in appropriate way, all the considered problems of mathematical physics are reduced to one universal formulation. This description of the system makes it possible not only to evaluate the quality of approximate solutions, but also to estimate the perfection of the mathematical model used.

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Publication Details

Journal
Доклады Российской академии наук Физика технические науки / Doklady Physics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034508125030014
Primary Topic
Engineering Diagnostics and Reliability
Type
article
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article

DEVELOPMENT OF THE PRINCIPLE FOR THE ACTUAL STATE OF A PHYSICAL SYSTEM

B. V. Gusev
Доклады Российской академии наук Физика технические науки / Doklady Physics
Engineering Diagnostics and Reliability
article

DEVELOPMENT OF THE PRINCIPLE FOR THE ACTUAL STATE OF A PHYSICAL SYSTEM

B. V. Gusev
article en

Abstract

The energy principle for the actual state of a physical system with distributed parameters is formulated using the example of problems formulations in linear theories, fluid, and thermal conductivity. It is shown that if the system state variables are chosen in appropriate way, all the considered problems of mathematical physics are reduced to one universal formulation. This description of the system makes it possible not only to evaluate the quality of approximate solutions, but also to estimate the perfection of the mathematical model used.

Доклады Российской академии наук Физика технические науки / Doklady PhysicsVol. 522(1)
Openalex Percentile: Top 71%
Engineering Diagnostics and Reliability
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DEVELOPMENT OF THE PRINCIPLE FOR THE ACTUAL STATE OF A PHYSICAL SYSTEM — B. V. Gusev · Доклады Российской академии наук Физика технические науки / Doklady Physics (2025) | TGRS Research Map | TGRS