Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
View through CrossRef
The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
Universal Wiser Publisher Pte. Ltd
Title: Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
Description:
The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions.
In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation.
The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
Related Results
Unbounded Star Convergence in Lattices
Unbounded Star Convergence in Lattices
Let L be a vector lattice, "(" x_α ") " be a L-valued net, and x∈L . If |x_α-x|∧u→┴o 0 for every u ∈〖 L〗_+ then it is said that the net "(" x_α ")" unbounded order converges ...
Cauchy Problem for the Loaded Korteweg–de Vries Equation in the Class of Periodic Functions
Cauchy Problem for the Loaded Korteweg–de Vries Equation in the Class of Periodic Functions
The inverse spectral problem method is applied to finding a solution of the Cauchyproblem for the loaded Korteweg–de Vries equation in the class of periodic infinite-gap functions....
Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
The present work continues work on KdV-type hierarchies presented by S. Carillo and C. Schiebold [“Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via r...
The waveform comparison of three common-used fractional viscous acoustic wave equations
The waveform comparison of three common-used fractional viscous acoustic wave equations
Abstract
The forward simulation of the viscous acoustic wave equation is an essential part of geophysics and energy resources exploration research. The viscous acoustic sei...
Long-range superharmonic Josephson current and spin-triplet pairing correlations in a junction with ferromagnetic bilayers
Long-range superharmonic Josephson current and spin-triplet pairing correlations in a junction with ferromagnetic bilayers
AbstractThe long-range spin-triplet supercurrent transport is an interesting phenomenon in the superconductor/ferromagnet ("Equation missing") heterostructure containing noncolline...
Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods
Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods
Here, noncommutative hierarchies of nonlinear equations are studied. They represent a generalization to the operator level of corresponding hierarchies of scalar equations, which c...
Similarity Solutions for Shallow Hydraulic Fracture in Impermeable Rock
Similarity Solutions for Shallow Hydraulic Fracture in Impermeable Rock
ABSTRACT
The paper deals with the plane strain problem ofa shallow fluid-driven fracture propagating parallel to a free surface in an impermeable elastic rock. Fo...
Effects of Some Simpilfying Assumptions On Interpretation of Transient Data
Effects of Some Simpilfying Assumptions On Interpretation of Transient Data
Abstract
The fluid flows in porous medium is described by the diffusion type of partial differential equation. In deriving the flow equation for the constant comp...