Cover Image

Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Montecinos, Gino, Lecaros, Rodrigo, López-Ríos, Juan, Zuazua, Enrique
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Analysis of PDEs Optimization and Control 49K20, 76B15, 76B03, 65M08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
by: Ruan, Linheng, et al.
Published: (2024)

Optimal Regularity for the 2D Euler Equations in the Yudovich class
by: de Nitti, Nicola, et al.
Published: (2024)

Refined wave breaking for the one-dimensional nonlinear shallow water equations
by: Liu, Pingchun, et al.
Published: (2026)

Two-dimensional water waves with constant vorticity and general bottom topography
by: Pasquali, S.
Published: (2025)

Dissipative Euler flows originating from circular vortex filaments
by: Gancedo, Francisco, et al.
Published: (2024)

Horizontally periodic generalized surface quasigeostrophic patches and layers
by: Ambrose, David M., et al.
Published: (2025)

Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier-Stokes equations on the torus
by: Ambrose, David M., et al.
Published: (2024)

Analytical study of a generalized Dirichlet-Neumann operator for three-dimensional water waves with vorticity
by: Pasquali, S.
Published: (2025)

Mass splitting in the time-discrete generalized Euler equations and non-Monge solutions in multi-marginal optimal transport
by: Friesecke, Gero
Published: (2026)

A priori estimates for the motion of charged liquid drop: A dynamic approach via free boundary Euler equations
by: Julin, Vesa, et al.
Published: (2021)

A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
by: Modin, Klas, et al.
Published: (2018)

Incompressible 2D Euler equations with non-decaying random initial vorticity
by: Iyer, Gautam, et al.
Published: (2025)

Global well-posedness and temporal decay estimates for the viscous $β$-plane equations
by: Yoshizawa, Tomoaki
Published: (2026)

Moment Approximations to Magnetic Rotating Shallow Flows
by: Koellermeier, Julian, et al.
Published: (2025)

Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method
by: Bergmann, Julius, et al.
Published: (2024)

Spline Shallow Water Moment Equations
by: Scholz, Ullika, et al.
Published: (2025)

Well-posedness for 2D non-homogeneous incompressible fluids with general density-dependent odd viscosity
by: Pageard, Matthieu
Published: (2025)

Existence of stationary vortex patches for the gSQG in bounded domains
by: Angulo-Castillo, Vladimir, et al.
Published: (2024)

Existence of Vortex Patch Equilibria for Active Scalars Equations
by: Cuba, Edison
Published: (2024)

On the gravity-capillary water waves with point vortices
by: Wan, Lizhe
Published: (2025)

A Direct Construction of Solitary Waves for a Fractional Korteweg-de Vries Equation With an Inhomogeneous Symbol
by: Yadav, Swati, et al.
Published: (2024)

On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions
by: Miller, Evan, et al.
Published: (2022)

Efficient preconditioners for coupled Stokes-Darcy problems with MAC scheme: Spectral analysis and numerical study
by: Strohbeck, Paula, et al.
Published: (2024)

Capturing vertical information in radially symmetric flow using hyperbolic shallow water moment equations
by: Verbiest, Rik, et al.
Published: (2023)

Well-posedness and blowup of 1D electron magnetohydrodynamics
by: Dai, Mimi
Published: (2025)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$
by: Hou, Thomas Y., et al.
Published: (2022)

Potential Singularity of the Axisymmetric Euler Equations with $C^α$ Initial Vorticity for A Large Range of $α$. Part II: the $N$-Dimensional Case
by: Hou, Thomas Y., et al.
Published: (2022)

An initial-boundary value problem describing moisture transport in porous media: existence of strong solutions and an error estimate for a finite volume scheme
by: Morimura, Akiko, et al.
Published: (2025)

Inviscid limit for Navier-Stokes equations in domains with permeable boundaries
by: Chemetov, N. V., et al.
Published: (2024)

Shallow Water Model for Lakes with Navier slip boundary condition
by: Chemetov, N. V., et al.
Published: (2024)

Euler equations with non-homogeneous Navier slip boundary condition
by: Chemetov, N. V., et al.
Published: (2024)

On a 1D nonlocal transport of the incompressible porous media equation
by: Liu, Caifeng, et al.
Published: (2025)

Finite time blow-up in a 1D model of the incompressible porous media equation
by: Kiselev, Alexander, et al.
Published: (2024)

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations
by: Collot, Charles, et al.
Published: (2025)

On the fragility of laminar flow
by: Drivas, Theodore D., et al.
Published: (2025)

Compressible Navier-Stokes-Landau-Lifshitz-Gilbert system: derivations and well-posedness
by: Guo, Boling, et al.
Published: (2026)

Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing
by: Li, Ziqian, et al.
Published: (2026)

On $L^p$-semigroup to Stokes equation with dynamic slip boundary condition in the half-space
by: Pražák, Dalibor, et al.
Published: (2023)

Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation
by: Yuan, Baoquan, et al.
Published: (2024)

Information geometric regularization of the barotropic Euler equation
by: Cao, Ruijia, et al.
Published: (2023)