𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Validity of the Euler–Lagrange Equation

✍ Scribed by Arrigo Cellina


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
137 KB
Volume
171
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Euler-Lagrange equation and heat flo
✍ Zheng-Xu He 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 175 KB 👁 1 views

We prove the following results: 1. A unique smooth solution exists for a short time for the heat equation associated with the Möbius energy of loops in a euclidean space, starting with any simple smooth loop. 2. A critical loop of the energy is smooth if it has cube-integrable curvature. Combining

On the nonuniqueness of weak solution of
✍ A. Shnirelman 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB 👁 2 views

Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero

On the Validity of the degenerate Ginzbu
✍ A. Shepeleva 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB 👁 2 views

The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper a derivation of the so-called degenerate (or generalized) Gi