Reformulation of Degasperis-Procesi Field by Functional Derivatives

2020 ◽  
Vol 13 (1) ◽  
pp. 67-72
Keyword(s):  
Inverse Method ◽  
Lagrange Equation ◽  
Hamiltonian Formulation ◽  
Hamiltonian Equation ◽  
Functional Derivatives ◽  
New Formulation

We reformulated the Degasperis-Procesi equation using functional derivatives. More specifically, we used a semi-inverse method to derive the Lagrangian of the Degasperis-Procesi equation. After introducing the Hamiltonian formulation using functional derivatives, we applied this new formulation to the Degasperis-Procesi Equation. In addition, we found that both Euler-Lagrange equation and Hamiltonian equation yield the same result. Finally, we studied an example to elucidate the results.

Hamiltonian formulation of direct laser acceleration in vacuum

2007 ◽  
Vol 73 (5) ◽  
pp. 635-647 ◽  
Author(s):  
M. ELOY ◽  
A. GUERREIRO ◽  
J. T. MENDONÇA ◽  
R. BINGHAM
Keyword(s):  
Laser Pulse ◽  
Hamiltonian Formulation ◽  
Particle Energy ◽  
Low Intensity ◽  
Hamiltonian Theory ◽  
Direct Laser ◽  
Laser Acceleration ◽  
Exact Shape ◽  
Energy Gains ◽  
New Formulation

AbstractWe present a new formulation for the direct laser acceleration of electrons in vacuum based on the Hamiltonian theory. Two different regimes for the snow-plowed, accelerated electrons are identified and characterized, the first pertaining to high-intensity and the second to low-intensity pulses, both leading to efficient electron acceleration. Particle energy yields are shown to be independent of the exact shape of the laser pulse and energy gains are estimated.

A new Hamiltonian formulation for fluids and plasmas. Part 1. The perfect fluid

1996 ◽  
Vol 55 (2) ◽  
pp. 235-259 ◽  
Author(s):  
Jonas Larsson
Keyword(s):  
Perfect Fluid ◽  
Generating Functions ◽  
Hamiltonian Formulation ◽  
Wave Interaction ◽  
Coupling Coefficients ◽  
Lagrange Equations ◽  
Time Dynamics ◽  
Promising Tool ◽  
Fluid Equations ◽  
New Formulation

A new formulation of the Hamiltonian structure underlying the perfect fluid equations is presented. Besides time, a parameter c is also used. Correspondingly, there are two interdependent systems of equations expressing time evolution and e evolution respectively. The accessibility equations define the e dynamics and give the variation in the usual Eulerian fluid variables as determined by the generating functions. The time evolutions of both the Eulerian fluid variables and the generating functions are obtained from an action principle. The consistency of the e and the time dynamics is crucial for this formulation, i.e. the accessibility equations must be propagated in time by the Euler–Lagrange equations. The reason for introducing this new formulation is its power in certain applications where the existing Hamiltonian alternatives seem less convenient to use. In particular, it is a promising tool for Hamiltonian perturbation theory. We consider the small-amplitude expansion, and find, very simply and naturally, the Hermitian structure of the linearized ideal fluid equations as well as coupling coefficients for resonant three-wave interaction exhibiting the Manley–Rowe relations.

A Hamiltonian Equation of Motion for Realtime Vehicle Simulation

1990 ◽  
Author(s):  
D. S. Bae ◽  
Y. S. Won
Keyword(s):  
Equations Of Motion ◽  
Transformation Method ◽  
Equation Of Motion ◽  
Differential Algebraic Equations ◽  
Coordinate Space ◽  
Hamiltonian Equation ◽  
Algebraic Equations ◽  
Vehicle Simulation ◽  
Relative Coordinate ◽  
New Formulation

Abstract A relative coordinate formulation of the Hamiltonian equation of motion is derived for realtime vehicle simulation. The Baumgarte stabilization method [1] is adopted to solve the Differential-Algebraic Equations (DAE) of motion. The stability theory of multi-step integration methods is used to determine the stabilization constant. The equations of motion are first derived in Cartesian space and are reduced to relative coordinate space using the velocity transformation method [2]. Partial derivative of the kinetic energy with respect to the relative coordinate is obtained from equivalence of the Lagrangian and the Newton-Euler formulations. Parallel processing of the formulation is also discussed. Realtime simulation of a passenger vehicle is carried out to demonstrate the efficiency of the new formulation.

scholarly journals Generation and solutions to the time-space fractional coupled Navier-Stokes equations

2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 3899-3905
Author(s):  
Chang-Na Lu ◽  
Sheng-Xiang Chang ◽  
Luo-Yan Xie ◽  
Zong-Guo Zhang
Keyword(s):  
Exact Solutions ◽  
Inverse Method ◽  
Fractional Derivatives ◽  
Variational Principles ◽  
Stokes Equations ◽  
Lagrange Equation ◽  
Numerical Results ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Time Space

In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal?s method is devot?ed to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by means of RPS algorithm. The numerical results are presented by using exact solutions.

Induction and Differentiation of Dental Epithelium in Vivo and in Vitro

1982 ◽  
Vol 40 ◽  
pp. 142-145
Author(s):  
E. J. Kollar
Keyword(s):  
Connective Tissue ◽  
Oral Mucosa ◽  
Basal Lamina ◽  
Functional Derivatives ◽  
Specific Source ◽  
Dental Epithelium ◽  
Connective Tissue Stroma

The differentiation and maintenance of many specialized epithelial structures are dependent on the underlying connective tissue stroma and on an intact basal lamina. These requirements are especially stringent in the development and maintenance of the skin and oral mucosa. The keratinization patterns of thin or thick cornified layers as well as the appearance of specialized functional derivatives such as hair and teeth can be correlated with the specific source of stroma which supports these differentiated expressions.

A general inverse method for modelling extensional sedimentary basins

2000 ◽  
Vol 12 (3-4) ◽  
pp. 219-226 ◽  
Author(s):  
P. Bellingham ◽  
N. White
Keyword(s):  
Inverse Method ◽  
Sedimentary Basins

Adult’s Total Parenteral Nutrition: Initiative and Implementation of Standardized Formulation in Saudi Arabia

2018 ◽  
Vol 4 (3) ◽  
pp. 483-487
Author(s):  
Yousef Ahmed Alomi ◽  
Hussam Saad Almalki ◽  
Aisha Omar Fallatah ◽  
Awatif Faraj Alshammari ◽  
Nahedh Rashed Alotaibi
Keyword(s):  
Saudi Arabia ◽  
Parenteral Nutrition ◽  
Pharmacy Practice ◽  
International Standards ◽  
Kingdom Of Saudi Arabia ◽  
Parental Nutrition ◽  
International Regulations ◽  
One Year ◽  
New Formulation ◽  
New System

The general administration of pharmaceutical care started potential pharmacy practice program. The program is part of accreditation professional’s process of national and international regulations. The adult’s parenteral nutrition was one of the critical programs. The most healthcare professionals are not familiar with the new system. The new initiatives system adult’s standardized concentration formulation of total parental nutrition as complementary to the previous one. The new formulation consisted of all parental nutrition requirements based on national and international standards. The new system can be converted as computerized physician orders. The new initiatives may implement as project management model over one year or less than that’s. The new system prevents nutrition-related problems, and medication errors, and improve clinical outcomes of the adults’ population in the Kingdom of Saudi Arabia.

L'esperienza clinica con Levometadone nel trattamento del disturbo da uso di oppiacei

MISSION ◽  
2019 ◽  
pp. 54-57
Author(s):  
Marco Riglietta ◽  
Paolo Donadoni ◽  
Grazia Carbone ◽  
Caterina Pisoni ◽  
Franca Colombi ◽  
...  
Keyword(s):  
Adverse Events ◽  
Real Life ◽  
Opioid Use Disorder ◽  
Racemic Mixture ◽  
Opioid Use ◽  
The Real ◽  
New Formulation

In Italy, at the end of the 1970s, methadone hydrochloride was introduced for the treatment of opioid use disorder, in the form of a racemic mixture consisting of levomethadone and dextromethadone.In 2015 Levometadone was introduced, a new formulation marketed in Italy for the treatment of opioid use disorder in 2015.The article aims to bring the experience of an Italian Addiction Centre back to the use of this new formulation in the "real life" analyzing the efficacy, the trend of adverse events and pharmacological iterations in a context in which the treated population often uses besides the opiates, cocaine and alcohol, are burdened by a relevant physical and psychic comorbidity and frequently have a prescribed polypharmacy.

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