Local well-posedness for a class of 1D Boussinesq systems
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Publication:2119450
DOI10.3934/mcrf.2021030zbMath1490.35343OpenAlexW3163646287MaRDI QIDQ2119450
Alex M. Montes, Ricardo Córdoba
Publication date: 29 March 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2021030
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Cites Work
- Unnamed Item
- Periodic solutions for a class of one-dimensional Boussinesq systems
- On the Cauchy problem and solitons for a class of 1D Boussinesq systems
- Local well-posedness for the sixth-order Boussinesq equation
- On the local well-posedness for some systems of coupled KdV equations
- Sharp well-posedness results for the BBM equation
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Interaction equations for short and long dispersive waves
- \(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- On the Cauchy problem for the Zakharov system
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- A KdV-type Boussinesq system: From the energy level to analytic spaces
- Well-posedness and nonlinear smoothing for the ``good Boussinesq equation on the half-line
- Existence, physical sense and analyticity of solitons for a 2D Boussinesq-Benney-Luke system
- Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane
- Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
- 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
- Quadratic forms for the 1-D semilinear Schrödinger equation
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