Optimal control of a viscous generalized \(\theta\)-type dispersive equation with weak dissipation
DOI10.1515/math-2020-0075zbMath1483.35301OpenAlexW3112195951MaRDI QIDQ2053507
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2020-0075
optimal controlweak solutionexistence and uniquenessweak dissipationviscous generalized \(\theta\)-type dispersive equation
Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum principle for optimal distributed control of the viscous dullin-gottwald-Holm equation
- Global attractor for the generalized dissipative KdV equation with nonlinearity
- On the Cauchy problem for the two-component Camassa-Holm system
- On an integrable two-component Camassa-Holm shallow water system
- On the well-posedness of the Degasperis-Procesi equation
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Controllability and asymptotic stabilization of the Camassa-Holm equation
- On discreteness of the Hopf equation
- Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Global existence and uniform decay for wave equation with dissipative term and boundary damping
- Global solutions and blow-up phenomena to a shallow water equation
- Stability analysis of heat flow with boundary time-varying delay effect
- Optimal control of the viscous Camassa-Holm equation
- Initial boundary value problems for nonlinear dispersive wave equations
- Optimal control of the viscous weakly dispersive Degasperis-Procesi equation
- Optimal control of the viscous Dullin-Gottwalld-Holm equation
- Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
- Wave breaking for nonlinear nonlocal shallow water equations
- Special issue on the occasion of the 50th volume
- Boundary stabilization of a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback
- Global weak solutions for a new periodic integrable equation with peakon solutions
- Well-posedness, blow up, and global existence for an integrable shallow water equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- A note on decay properties for the solutions of a class of partial differential equation with memory
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- On the Wave-Breaking Phenomena and Global Existence for the Generalized Periodic Camassa–Holm Equation
- Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited
- On the controllability and stabilization of the linearized Benjamin-Ono equation
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- Optimal control of the viscous Degasperis-Procesi equation
- Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation
- The initial-value problem for the Korteweg-de Vries equation
- The SQP method for control constrained optimal control of the Burgers equation
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- An integrable shallow water equation with peaked solitons
- Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- Global solutions to a new integrable equation with peakons
- Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping
- Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation
- On Solvability and Stabilization of a Class of Hyperbolic Hemivariational Inequalities in Elasticity
- ON SOLVABILITY OF THE DISSIPATIVE KIRCHHOFF EQUATION WITH NONLINEAR BOUNDARY DAMPING
- Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation
This page was built for publication: Optimal control of a viscous generalized \(\theta\)-type dispersive equation with weak dissipation
