Results 11 to 20 of about 114,103 (278)

The Boundary Value Problem with Stationary Inhomogeneities for a Hyperbolic-Type Equation with a Fractional Derivative

open access: yesAxioms, 2022
The paper presents an analytical solution of a partial differential equation of hyperbolic-type, containing both second-order partial derivatives and fractional derivatives of order below the second.
Ludmila Vladimirovna Kirianova
doaj   +1 more source

The Development of Log Aesthetic Patch and Its Projection onto the Plane

open access: yesMathematics, 2022
In this work, we introduce a new type of surface called the Log Aesthetic Patch (LAP). This surface is an extension of the Coons surface patch, in which the four boundary curves are either planar or spatial Log Aesthetic Curves (LACs).
Yee Meng Teh   +4 more
doaj   +1 more source

Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

open access: yesAdvances in Nonlinear Analysis, 2022
This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj   +1 more source

Derivative of the hyperbolic cotangent [PDF]

open access: yesNature, 1996
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/62811/1/380113b0 ...
Ford, G. W., O'Connell, R. F.
openaire   +2 more sources

Partition functions of higher derivative conformal fields on conformally related spaces

open access: yesJournal of High Energy Physics, 2021
The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
doaj   +1 more source

Least Squares Shadowing method for sensitivity analysis of differential equations [PDF]

open access: yes, 2017
For a parameterized hyperbolic system $\frac{du}{dt}=f(u,s)$ the derivative of the ergodic average $\langle J \rangle = \lim_{T \to \infty}\frac{1}{T}\int_0^T J(u(t),s)$ to the parameter $s$ can be computed via the Least Squares Shadowing algorithm (LSS).
Blonigan, Patrick J.   +3 more
core   +2 more sources

Optical Solitons for the Fokas-Lenells Equation with Beta and M-Truncated Derivatives

open access: yesJournal of Function Spaces, 2023
The Fokas-Lenells equation (FLE) including the M-truncated derivative or beta derivative is examined. Using the modified mapping method, new elliptic, hyperbolic, rational, and trigonometric solutions are created.
Farah M. Al-Askar
doaj   +1 more source

Vortices on Hyperbolic Surfaces [PDF]

open access: yes, 2010
It is shown that abelian Higgs vortices on a hyperbolic surface $M$ can be constructed geometrically from holomorphic maps $f:M \to N$, where $N$ is also a hyperbolic surface. The fields depend on $f$ and on the metrics of $M$ and $N$. The vortex centres
Bogomolny E B   +9 more
core   +1 more source

A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

open access: yesDemonstratio Mathematica, 2023
In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong   +4 more
doaj   +1 more source

The Hyperbolic Derivative in the Poincaré Ball Model of Hyperbolic Geometry

open access: yesJournal of Mathematical Analysis and Applications, 2001
The generic Möbius transformation of the complex open unit disk includes a binary operation in the disk, called the Möbius addition. The extension of the Möbius addition to the ball of any real inner product space and the scalar multiplication that it admits are presented, as well as the resulting geodesics of the Poincaré ball model of hyperbolic ...
Birman, Graciela S., Ungar, Abraham A.
openaire   +2 more sources

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