Analysis of 2 + 1 diffusive–dispersive PDE arising in river braiding
DOI10.1017/S095679251600005XzbMath1383.35231arXiv1405.2890MaRDI QIDQ4594611
Publication date: 24 November 2017
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2890
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Free convection (76R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Well-posedness and ill-posedness results for the Novikov-Veselov equation
- Some new well-posedness results for the Klein-Gordon-Schrödinger system.
- On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation
- On the well-posedness of the Cauchy problem for dissipative modified Korteweg-de Vries equations.
- Well-posedness of the generalized Benjamin-Ono-Burgers equations in Sobolev spaces of negative order
- On the low regularity of the fifth order Kadomtsev-Petviashvili I equation
- On the low regularity of the modified Korteweg-de Vries equation with a dissipative term
- Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system
- 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
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in \(\mathbb R^2\)
- On the low regularity of the Benney-Lin equation
- Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation
- The ADMB-KdV equation in anisotropic Sobolev spaces
- Nonlinear Evolution Equations and the Braiding of Weakly Transporting Flows Over Gravel Beds
- Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- A bilinear estimate with applications to the KdV equation
This page was built for publication: Analysis of 2 + 1 diffusive–dispersive PDE arising in river braiding
