کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897179 1534068 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Variational formulation of the motion of an ideal fluid on the basis of gauge principle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Variational formulation of the motion of an ideal fluid on the basis of gauge principle
چکیده انگلیسی

On the basis of gauge principle in the field theory, a new variational formulation is presented for flows of an ideal fluid. The fluid is defined thermodynamically by mass density and entropy density, and its flow fields are characterized by symmetries of translation and rotation. A structure of rotation symmetry is equipped with a Lagrangian ΛAΛA including vorticity, in addition to Lagrangians of translation symmetry. From the action principle, Euler’s equation of motion is derived. In addition, the equations of continuity and entropy are derived from the variations. Equations of conserved currents are deduced as the Noether theorem in the space of Lagrangian coordinate a. It is shown that, with the translation symmetry alone, there is freedom in the transformation between the Lagrangian a-space and Eulerian x-space. The Lagrangian ΛAΛA provides non-trivial topology of vorticity field and yields a source term of the helicity. The vorticity equation is derived as an equation of the gauge field. The present formulation provides a basis on which the transformation between the a space and the x space is determined uniquely.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issues 14–17, 15 August 2008, Pages 2067–2071
نویسندگان
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