Optimal control and optimality condition of the Camassa-Holm equation
type: Item
instance of: scholarly article
title: Optimal control and optimality condition of the Camassa-Holm equation
zbMATH Open document ID: 1506.49011
author: Chunyu Shen
author: Lixin Tian
published in: European Journal of Control
publication date: 2018-08-21T00:00:00Z
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 6921128
zbMATH Keywords: weak solution
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: optimal control
zbMATH Keywords: sufficient and necessary optimality condition
zbMATH Keywords: Camassa-Holm equation
MaRDI profile type: Publication
full work available at URL: j.ejcon.2017.04.004
OpenAlex ID: W2610319997
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: Finite propagation speed for the Camassa–Holm equation
cites work: Q4225587
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Q4253188
cites work: Global weak solutions for a shallow water equation
cites work: Particle trajectories in solitary water waves
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
cites work: On the geometric approach to the motion of inertial mechanical systems
cites work: A shallow water equation on the circle
cites work: Stability of peakons
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: A few remarks on the Camassa-Holm equation.
cites work: Q4933732
cites work: Initial Boundary Value Problems of the Camassa–Holm Equation
cites work: Initial boundary value problems for nonlinear dispersive wave equations
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Controllability and asymptotic stabilization of the Camassa-Holm equation
cites work: Optimal control problem with necessary optimality conditions for the viscous Dullin-Gottwald-Holm equation
cites work: GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
cites work: Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation
cites work: Dissipative solutions for the Camassa-Holm equation
cites work: Analysis of instantaneous control for the Burgers equation
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: An efficient computational method for the optimal control problem for the Burgers equation
cites work: Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
cites work: Q5601627
cites work: Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: Adjoint concepts for the optimal control of Burgers equation
cites work: An efficient computational method of boundary optimal control problems for the Burgers equation
cites work: On the Cauchy problem for the Camassa-Holm equation
cites work: Boundary and distributed control of the viscous Burgers equation
cites work: Waves in shallow water, with emphasis on the tsunami of 2004
cites work: Q3536019
cites work: Maximum principle for optimal distributed control of the viscous dullin-gottwald-Holm equation
cites work: Optimal control of a class of nonlocal dispersive equations
cites work: Optimal distributed control of the Fornberg-Whitham equation
cites work: Optimal control of the viscous generalized Camassa-Holm equation
cites work: Optimal control of the viscous Dullin-Gottwalld-Holm equation
cites work: Stokes waves
cites work: Optimal control of the viscous Degasperis-Procesi equation
cites work: Optimal control of the viscous Camassa-Holm equation
cites work: Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation
cites work: Optimal control of the viscous Burgers equation using an equivalent index method
cites work: Distributed control problems for the Burgers equation
cites work: Q4151274
cites work: Global existence of weak solutions to the Camassa-Holm equation
cites work: On the weak solutions to a shallow water equation.
cites work: Well-posedness, blow up, and global existence for an integrable shallow water equation
cites work: Well-posedness, global solutions and blow up phenomena for a nonlinearly dispersive wave equation
DOI: 10.1016/J.EJCON.2017.04.004