Concept

Lagrangian system

Related publications (32)

High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography

This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive moving mesh finite difference schemes for the shallow water equations (SWEs) with non flat bottom topography. To enable the construction of the ES schemes on moving mesh ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly

Anna Tokareva

The classical Lagrangian of the Standard Model enjoys the symmetry of the full conformal group if the mass of the Higgs boson is put to zero. This is a hint that conformal symmetry may play a fundamental role in the ultimate theory describing nature. The o ...

AMER PHYSICAL SOC2023

Conformal symmetry: Towards the link between the Fermi and the Planck scales

Andrey Shkerin

If the mass of the Higgs boson is put to zero, the classical Lagrangian of the Standard Model (SM) becomes conformally invariant (CI). Taking into account quantum non-perturbative QCD effects violating CI leads to electroweak symmetry breaking with the sca ...

ELSEVIER SCIENCE BV2018

Noether Theorems and Quantum Anomalies

Tudor Ratiu

A quantum anomaly is the breaking of symmetry with respect to some transformations after the quantization of a classical Hamiltonian or Lagrangian system. It is shown that both the Noether theorems (including their infinite-dimensional versions) and the ex ...

Springer Verlag2017

On the Lagrangian structure of transport equations: The Vlasov–Poisson system

Maria Colombo

The Vlasov-Poisson system is an important nonlinear transport equation, used to describe the evolution of particles under their self-consistent electric or gravitational field. The existence of classical solutions is limited to dimensions d

2017

Cross-code gyrokinetic verification and benchmark on the linear collisionless dynamics of the geodesic acoustic mode

Alberto Bottino, Gabriele Merlo

The linear properties of the geodesic acoustic modes (GAMs) in tokamaks are investigated by means of the comparison of analytical theory and gyrokinetic numerical simulations. The dependence on the value of the safety factor, finite-orbit-width of the ions ...

Amer Inst Physics2017

Verification of Gyrokinetic codes: Theoretical background and applications

Laurent Villard, Alberto Bottino

In fusion plasmas, the strong magnetic field allows the fast gyro-motion to be systematically removed from the description of the dynamics, resulting in a considerable model simplification and gain of computational time. Nowadays, the gyrokinetic (GK) code ...

Amer Inst Physics2017

On a Lagrangian Formulation of the Incompressible Euler Equation

Hasan Inci

In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...

Global Science Press2016

Finite Particle Flow Simulation of Free Jet Deviation by Rotating Pelton Buckets

Christian Vessaz

The prediction of hydraulic machines performances is of high interest to manufacturers in today's highly competitive market for new development or refurbishment of hydraulic power plant. An accurate prediction of the machines performances by numerical simu ...

EPFL2015

Migration of volatile organic contaminations (VOCs) through a deforming clay liner

David Andrew Barry

A fully coupled thermal–hydraulic–mechanical–chemical (THMC) model was proposed to describe the migration of volatile organic contaminations (VOCs) in unsaturated landfill liners. The vertical soil stress, capillary pressure, air pressure, temperature incr ...

Elsevier2013

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