# Variational Formulation of Fluid and Geophysical Fluid Dynamics: Mechanics, Symmetries and Conservation Laws

@article{Badin2017VariationalFO, title={Variational Formulation of Fluid and Geophysical Fluid Dynamics: Mechanics, Symmetries and Conservation Laws}, author={Gualtiero Badin and Fulvio Crisciani}, journal={Variational Formulation of Fluid and Geophysical Fluid Dynamics}, year={2017} }

## 21 Citations

### Hamiltonian Variational Formulation of Three-Dimensional, Rotational Free-Surface Flows, with a Moving Seabed, in the Eulerian Description

- MathematicsFluids
- 2022

Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality.…

### Extended gravitoelectromagnetism. I. Variational formulation

- Physics
- 2021

This work presents a novel approach to well established concepts of gravity, formulating a new and consistent gravitoelectromagnetic theory. The long standing gravitoelectromagnetic field theory is…

### Natural modes of the two-fluid model of two-phase flow

- PhysicsPhysics of Fluids
- 2021

A physically based method to derive well-posed instances of the two-fluid momentum transport equations from first principles is presented. The basic tools used in this endeavor are the variational…

### Analysis of the influence of tool radius on mechanical state of monocrystalline silicon during nano-cutting

- Materials ScienceMechanics of Advanced Materials and Structures
- 2020

Abstract Molecular dynamics (MD) was used to build a simulation model for skiving single crystal silicon (SCS) with different tool radius. Through the analysis of phase change, instantaneous atomic…

### General Canonical Variational Principle and Noether Theorem, Their New Classical and Quantum Physics, Solution to Crisis Deducing All Physics Laws in Phase Space

- Physics
- 2020

This paper discovers that current canonical variational principle and canonical Noether theorem of (in)finite freedom systems for different physics systems have neglected doublet extreme value…

### Spatial Covariance Modeling for Stochastic Subgrid‐Scale Parameterizations Using Dynamic Mode Decomposition

- Environmental Science, PhysicsJournal of Advances in Modeling Earth Systems
- 2020

This paper presents a meta-modelling procedure that automates the very labor-intensive and therefore time-heavy and therefore expensive and expensive process of modeling subgrid scale processes through stochastic parameterizations.

### Variational formulation of plasma dynamics

- Physics
- 2020

Hamilton's principle is applied to obtain the equations of motion for fully relativistic collision-free plasma. The variational treatment is presented in both the Eulerian and Lagrangian frameworks.…

### Statistical Measures and Selective Decay Principle for Generalized Euler Dynamics: Formulation and Application to the Formation of Strong Fronts

- PhysicsJournal of Statistical Physics
- 2020

In this work we investigate the statistical mechanics of a family of two dimensional (2D) fluid flows, described by the generalized Euler equations, or $$\alpha $$ α -models. These models describe…

### Motion of buoyant point vortices

- PhysicsPhysical Review Fluids
- 2020

A general Hamiltonian description for the trajectories of any number of interacting buoyant vortices in a homogeneous ambient fluid is presented. It constitutes an idealized description of coherent…

## References

### The Path-Independent M Integral Implies the Creep Closure of Englacial and Subglacial Channels

- Engineering
- 2017

Drainage channels are essential components of englacial and subglacial hydrologic systems. Here we use the M integral, a path-independent integral of the equations of continuum mechanics for a class…