Higher Derivatives and Extrema

The Coarse Scale Velocity

10.23943/princeton/9780691174822.003.0015 ◽

2017 ◽

Author(s):

Philip Isett

Keyword(s):

Velocity Field ◽

Building Blocks ◽

Coarse Scale ◽

Divergence Equation ◽

Higher Derivatives ◽

Order Of Magnitude ◽

Derivatives Of

This chapter deals with the coarse scale velocity. It begins the proof of Lemma (10.1) by choosing a double mollification for the velocity field. Here ∈ᵥ is taken to be as large as possible so that higher derivatives of velement are less costly, and each vsubscript Element has frequency smaller than λ‎ so elementv⁻¹ must be smaller than λ‎ in order of magnitude. Each derivative of vsubscript Element up to order L costs a factor of Ξ‎. The chapter proceeds by describing the basic building blocks of the construction, the choice of elementv and the parametrix expansion for the divergence equation.

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The Perception of the Higher Derivatives of Visual Motion.

10.21236/ada171076 ◽

1986 ◽

Cited By ~ 1

Author(s):

Lloyd Kaufman ◽

Samuel J. Williamson

Keyword(s):

Visual Motion ◽

Higher Derivatives ◽

Derivatives Of

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De-singularizing the extremal GMGHS black hole via higher derivatives corrections

Physics Letters B ◽

10.1016/j.physletb.2021.136357 ◽

2021 ◽

pp. 136357

Author(s):

Carlos Herdeiro ◽

Eugen Radu ◽

Kunihito Uzawa

Keyword(s):

Black Hole ◽

Higher Derivatives

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On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Galaxies ◽

10.3390/galaxies9020032 ◽

2021 ◽

Vol 9 (2) ◽

pp. 32

Author(s):

J. R. Nascimento ◽

A. Yu. Petrov ◽

A. R. Vieira

Keyword(s):

Plane Wave ◽

Dispersion Relations ◽

Wave Solutions ◽

Higher Derivatives ◽

Additive Term

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

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Nonlinear solution of the reaction–diffusion equation using a two-step third–fourth-derivative block method

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2019-0309 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Oluwaseun Adeyeye ◽

Ali Aldalbahi ◽

Jawad Raza ◽

Zurni Omar ◽

Mostafizur Rahaman ◽

...

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Numerical Approach ◽

Reaction Diffusion Equations ◽

Reaction Diffusion Equation ◽

Block Method ◽

Wide Range ◽

Higher Derivatives ◽

Fourth Derivative ◽

Improved Accuracy

AbstractThe processes of diffusion and reaction play essential roles in numerous system dynamics. Consequently, the solutions of reaction–diffusion equations have gained much attention because of not only their occurrence in many fields of science but also the existence of important properties and information in the solutions. However, despite the wide range of numerical methods explored for approximating solutions, the adoption of block methods is yet to be investigated. Hence, this article introduces a new two-step third–fourth-derivative block method as a numerical approach to solve the reaction–diffusion equation. In order to ensure improved accuracy, the method introduces the concept of nonlinearity in the solution of the linear model through the presence of higher derivatives. The method obtained accurate solutions for the model at varying values of the dimensionless diffusion parameter and saturation parameter. Furthermore, the solutions are also in good agreement with previous solutions by existing authors.

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Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives

Physical Review D ◽

10.1103/physrevd.104.025008 ◽

2021 ◽

Vol 104 (2) ◽

Author(s):

M. D. Kuzmichev ◽

N. P. Meshcheriakov ◽

S. V. Novgorodtsev ◽

I. E. Shirokov ◽

K. V. Stepanyantz

Keyword(s):

Gauge Theories ◽

Supersymmetric Gauge Theories ◽

Higher Derivatives ◽

Supersymmetric Gauge

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Simple prescription for computing the nonrelativistic interparticle potential energy related to dual models

International Journal of Modern Physics A ◽

10.1142/s0217751x16500706 ◽

2016 ◽

Vol 31 (12) ◽

pp. 1650070 ◽

Cited By ~ 1

Author(s):

G. B. de Gracia ◽

G. P. de Brito

Keyword(s):

Vector Field ◽

Potential Energy ◽

Nonrelativistic Limit ◽

External Current ◽

Interparticle Potential ◽

Higher Derivative ◽

Higher Derivatives ◽

Rank 2 ◽

Electromagnetic Models ◽

Dual Models

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the conservation of the external current, the prescription found out by them is generalized so that dual models can also be contemplated. Specific models in which the interaction is mediated by a spin-0 particle described first by a vector field and then by a higher-derivative vector field, are analyzed. Systems mediated by spin-1 particles described, respectively, by symmetric rank-2 tensors, symmetric rank-2 tensors augmented by higher derivatives and antisymmetric rank-2 tensors, are considered as well.

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