Optimal solution for the viscous nonlinear dispersive wave equation
From MaRDI portal
Publication:5249558
DOI10.1063/1.3360147zbMath1310.76037OpenAlexW2082091829MaRDI QIDQ5249558
Publication date: 6 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3360147
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Waves for incompressible viscous fluids (76D33) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- Riemann-Hilbert approach for the Camassa-Holm equation on the line
- On geodesic exponential maps of the Virasoro group
- Optimal control of the viscous generalized Camassa-Holm equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Optimal control of the viscous Camassa-Holm equation
- Optimal control of the viscous weakly dispersive Degasperis-Procesi equation
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Existence theory of optimal controls for distributed parameter systems
- On the inverse spectral problem for the Camassa-Holm equation
- Wave breaking for nonlinear nonlocal shallow water equations
- Optimal control of two-and three-dimensional incompressible Navier-Stokes flows
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14--20, 1996
- Global existence for a new periodic integrable equation.
- On the blow-up of solutions of a periodic nonlinear dispersive wave equation in compressible elastic rods.
- Geodesic flow on the diffeomorphism group of the circle
- Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation
- Global weak solutions for a shallow water equation
- Analysis of instantaneous control for the Burgers equation
- Well-posedness, global solutions and blow up phenomena for a nonlinearly dispersive wave equation
- Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
- An efficient computational method of boundary optimal control problems for the Burgers equation
- A few remarks on the Camassa-Holm equation.
- Pontryagin's maximum principle of optimal control governed by some non-well-posed semilinear parabolic differential equations
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Finite propagation speed for the Camassa–Holm equation
- Blowup and blowup rate of solutions to a weakly dissipative periodic rod equation
- Instability of a class of dispersive solitary waves
- Inverse scattering transform for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Optimal control of the viscous Degasperis-Procesi equation
- Multi-peakons and a theorem of Stieltjes
- Global weak solutions for a shallow water equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey
- Conservation laws of the Camassa–Holm equation
- On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- Particle trajectories in solitary water waves
- Global existence of weak solutions to the Camassa-Holm equation
- Model equations for long waves in nonlinear dispersive systems
- Optimal control of the viscous Burgers equation using an equivalent index method
- Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
- On the Cauchy problem for the Camassa-Holm equation
- The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
This page was built for publication: Optimal solution for the viscous nonlinear dispersive wave equation
