Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia

被引：4

作者：

Musielak, Zdzislaw E. ^{[1
]}

机构：

[1] Univ Texas Arlington, Dept Phys, POB 19059, Arlington, TX 76019 USA

来源：

PHYSICS | 2021年 / 3卷 / 04期

关键词：

Lagrangian formalism; null Lagrangians; gauge functions; law of inertia; CLASSICAL MECHANICS; SYMMETRIES; EQUATIONS; CALCULUS;

D O I：

10.3390/physics3040056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is used to make the Lagrangians and gauge functions exact. The first exact nonstandard null Lagrangian and its gauge function for the law of inertia are obtained, and their physical implications are discussed.

引用

页码：903 / 912

页数：10

共 14 条

[1] Nonstandard null Lagrangians and gauge functions and dissipative forces in dynamics
Segovia, A. L.
Vestal, L. C.
Musielak, Z. E.
PHYSICS LETTERS A, 2022, 453
[2] General null Lagrangians, exact gauge functions and forces in Newtonian mechanics
Musielak, Z. E.
Watson, T. B.
PHYSICS LETTERS A, 2020, 384 (33)
[3] Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
Vestal, Lesley C.
Musielak, Zdzislaw E.
PHYSICS, 2021, 3 (02): : 449 - 458
[4] Gauge functions and Galilean invariance of Lagrangians
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Watson, T. B.
PHYSICS LETTERS A, 2020, 384 (26)
[5] Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings
Egorov, A. A.
SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (04) : 637 - 649
[6] Quasiconvex functions and null Lagrangians in the stability problems of classes of mappings
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Siberian Mathematical Journal, 2008, 49 : 637 - 649
[7] BALLISTIC FUNCTIONS RELATED TO THE NEWTONIAN LAW OF RESISTANCE
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JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1951, 18 (03): : 339 - 339
[8] Stability of classes of solutions to partial differential relations constructed by quasiconvex functions and null Lagrangians
Egorov, AA
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 1065 - 1067
[9] Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations
Musielak, Z. E.
Davachi, N.
Rosario-Franco, M.
JOURNAL OF APPLIED MATHEMATICS, 2020, 2020
[10] Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. Theoretical and computational insights with applications
Erel-Demore, Felix
Voss, Jendrik
Neff, Patrizio
Madeo, Angela
ARCHIVE OF APPLIED MECHANICS, 2025, 95 (02)

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