A Geometric Proof of the Quasi-Linearity of the Water Waves System
From MaRDI portal
Publication:5887731
DOI10.1137/21M141587XMaRDI QIDQ5887731
Publication date: 13 April 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02940
regularityquasi-linearflow mapwater waves systemnonlinear Burgers-type dispersive equationsnonlinear Burgers-type hyperbolic equations
Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for gravity water waves
- On the water-wave equations with surface tension
- Numerical simulation of gravity waves
- Global well-posedness in the energy space for the Benjamin-Ono equation on the circle
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
- On the regularity of the flow map for the gravity-capillary equations
- On finite energy solutions of the KP-I equation
- Fourier integral operators. I
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations
- The Water-Wave Equations: From Zakharov to Euler
- Global well-posedness in <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> for the periodic Benjamin-Ono equation
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves
- Paracomposition et operateurs paradifferentiels
- Commutator estimates and the euler and navier-stokes equations
- Cauchy theory for the gravity water waves system with non-localized initial data
