Javascript must be enabled to continue!
Optimal control of the viscous Degasperis-Procesi equation
View through CrossRef
This paper studies the problem for optimal control of the viscous Degasperis-Procesi equation. The existence and uniqueness of weak solution to the equation are proved in a short interval. The optimal control of the viscous Degasperis-Procesi equation under boundary condition is given and the existence of optimal solution to the equation is proved.
Title: Optimal control of the viscous Degasperis-Procesi equation
Description:
This paper studies the problem for optimal control of the viscous Degasperis-Procesi equation.
The existence and uniqueness of weak solution to the equation are proved in a short interval.
The optimal control of the viscous Degasperis-Procesi equation under boundary condition is given and the existence of optimal solution to the equation is proved.
Related Results
Reformulation of Degasperis-Procesi Field by Functional Derivatives
Reformulation of Degasperis-Procesi Field by Functional Derivatives
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 eq...
Nonlinear optimal control for robotic exoskeletons with electropneumatic actuators
Nonlinear optimal control for robotic exoskeletons with electropneumatic actuators
Purpose
To provide high torques needed to move a robot’s links, electric actuators are followed by a transmission system with a high transmission rate. For instance, gear ratios of...
Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is f...
Multi-shockpeakons for the stochastic Degasperis-Procesi equation
Multi-shockpeakons for the stochastic Degasperis-Procesi equation
<abstract><p>The deterministic Degasperis-Procesi equation admits weak multi-shockpeakon solutions of the form</p> <p><disp-formula> <label/> &l...
Immiscible Viscous Fingering: the Effects of Wettability/Capillarity and Scaling
Immiscible Viscous Fingering: the Effects of Wettability/Capillarity and Scaling
Abstract
Realistic immiscible viscous fingering, showing all of the complex finger structure observed in experiments, has proved to be very difficult to model using direct ...
Numerical Analysis of Fractional-Order Camassa–Holm and Degasperis–Procesi Models
Numerical Analysis of Fractional-Order Camassa–Holm and Degasperis–Procesi Models
This study proposes innovative methods for the time-fractional modified Degasperis–Procesi (mDP) and Camassa–Holm (mCH) models of solitary wave solutions. To formulate the concepts...
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...
Convergence Analysis of the Strang Splitting Method for the Degasperis-Procesi Equation
Convergence Analysis of the Strang Splitting Method for the Degasperis-Procesi Equation
This article is concerned with the convergence properties of the Strang splitting method for the Degasperis-Procesi equation, which models shallow water dynamics. The challenges of...

