As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...

The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive Vlasov-Poisson system with only integrable initial distribution function with finite energy. These solutions have a well-defined Lagrangian flow. ...

Introduction Peutz-Jeghers syndrome (PJS) is characterized by: (i) autosomal dominant inheritance; (ii) cutaneous pigmentation; (iii) gastro-intestinal polyposis. In all, more than 300 cases have been described with a world-wide distribution and no racial predilection. In 1921 Peutz described 7 cases of multiple intestinal polyps associated with melanin spots on the lips, buccal mucosa and digi...

BACKGROUND: Free radicals (oxidants) can cause skin irritation/damage which be a manifestation of minor infections. Not only that, one the complications disease that arise is diabetes mellitus (DM) with diabetic foot ulcers (LKD). LKD very susceptible to exposure microorganisms and develops into infection (DFI). DFI associated presence biofilms in wounds especially those caused by Staphylococcu...

By adding a proper term to the Lagrangian density of a real non-linear KG system with a proposed non-topological unstable solitary wave solution, its stability guaranteed appreciably. This additional term in the new modified Lagrangian density behaves like a strong internal force which stands against any arbitrary small deformation in the proposed non-topological solitary wave solution.

We describe a class of mechanical systems for which the “method of controlled Lagrangians” provides a family of control laws that stabilize an unstable (relative) equilibrium. The controlled Lagrangian approach involves making modifications to the Lagrangian for the uncontrolled system such that the Euler-Lagrange equations derived from the modified or “controlled” Lagrangian describe the close...

We study a wide family of Lagrangian submanifolds in nonflat complex space forms that we will call pseudoumbilical because of their geometric properties. They are determined by admitting a closed and conformal vector field X such that X is a principal direction of the shape operator AJX , being J the complex structure of the ambient manifold. We emphasize the case X = JH, where H is the mean cu...