Well-posedness and boundary controllability of a type Boussinesq equation

DOI10.1007/s10958-023-06426-wOpenAlexW4385875196MaRDI QIDQ6187952

Ivonne Rivas Triviño

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06426-w

zbMATH Keywords

initial-boundary value problemBoussinesq equationwell-posednessKuramoto-Sivashinsky equationboundary controllability

Mathematics Subject Classification ID

Controllability (93B05) Integral representations of solutions to PDEs (35C15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved local well-posedness for the periodic ``good Boussinesq equation
• The initial-boundary value problem for the ``good Boussinesq equation on the bounded domain
• Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation
• Semigroups of linear operators and applications to partial differential equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Global existence of small solutions for a generalized Boussinesq equation
• Exact controllability of the Boussinesq equation on a bounded domain
• Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
• Sharp local well-posedness for the ``good Boussinesq equation
• On the controllability of the Boussinesq equation in low regularity
• Exact controllability theorems for linear parabolic equations in one space dimension
• On the control of the linear Kuramoto−Sivashinsky equation
• A Nonhomogeneous Boundary Value Problem for the Boussinesq Equation on a Bounded Domain
• On the periodic “good” Boussinesq equation
• Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Existance and Uniqueness for Boussinesq type equations on a circle
• Null Controllability of the Stabilized Kuramoto--Sivashinsky System with One Distributed Control
• A nonhomogeneous boundary value problem for the Kuramoto–Sivashinsky equation in a quarter plane

This page was built for publication: Well-posedness and boundary controllability of a type Boussinesq equation