Results 41 to 50 of about 1,218,779 (86)

On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]

open access: yes, 2005
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
core   +5 more sources

Finite element heterogeneous multiscale methods for the wave equation [PDF]

open access: yes, 2013
Wave phenomena appear in a wide range of applications such as full-waveform seismic inversion, medical imaging, or composite materials. Often, they are modeled by the acoustic wave equation.
Stohrer, Christian
core   +1 more source

Existence and stability for a boundary value problem of Ambartsumian equation with -Hilfer generalized proportional fractional derivative

open access: yesBoletim da Sociedade Paranaense de Matemática
In this paper, we prove the existence and uniqueness of solution for the mixed boundary value problem of Ambartsumian equation using -Hilfer generalized proportional fractional derivative(PFD). The main principles applied to investigate our results are based on the standard fixed point theorems.
S. Manikandan   +3 more
openaire   +1 more source

A rigorous derivation of Smoluchowski's equation in the moderate limit [PDF]

open access: yes, 2004
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously.
Klingenberg, C.   +2 more
core   +1 more source

Analysis of Topological Degree Method for Solving Ambartsumian-Type Mathieu Fractional Differential Equations Under Φ-Hilfer Derivative

open access: yesInternational Journal of Analysis and Applications
The Ambartsumian equation arises in astronomy and is used in the theory of surface brightness in the Milky Way. In this manuscript, we consider a new category of Ambartsumian-type Mathieu fractional differential systems involving the Φ-Hilfer fractional derivative.
R. Vivek, R. George
openaire   +1 more source

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