Long time existence for a two-dimensional strongly dispersive Boussinesq system
DOI10.1080/03605302.2021.1920616zbMath1496.35325arXiv2009.03050OpenAlexW3170595033MaRDI QIDQ5012784
Publication date: 25 November 2021
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03050
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (2)
Cites Work
- Unnamed Item
- New long time existence results for a class of Boussinesq-type systems
- The Cauchy problem on large time for surface waves Boussinesq systems
- On the Cauchy problem for gravity water waves
- Long time existence results for bore-type initial data for BBM-Boussinesq systems
- Regularity and uniqueness of solutions to the Boussinesq system of equations
- Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
- Global well-posedness of the BCL system with viscosity
- Existence of solutions for the Boussinesq system of equations
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Long time existence for the Boussinesq-Full dispersion systems
- The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space
- Large time existence for 3D water waves and asymptotics
- Long wave approximations for water waves
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Fourier Analysis and Nonlinear Partial Differential Equations
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
- A bilinear estimate with applications to the KdV equation
- Long-Time Existence of Solutions to Boussinesq Systems
- Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems
- Long Time Existence for a Strongly Dispersive Boussinesq System
- The Boussinesq system revisited
- Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
- The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II
This page was built for publication: Long time existence for a two-dimensional strongly dispersive Boussinesq system