Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion-Reference-Cited by-同舟云学术

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Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

Published:2019-05-08 Issue:11 Volume:72 Page:2449-2484
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm. Pure Appl. Math.

Author:

Germain Pierre¹,Harrop‐Griffiths Benjamin²,Marzuola Jeremy L.³

Affiliation:

1. Courant Institute251 Mercer St., Room 1414, New York, NY 10012USA

2. Mathematics DepartmentUniversity of California, Los Angeles520 Portola Plaza, Math Sciences Building 6363, Box 951555, Los Angeles, CA 90095USA

3. Mathematics DepartmentUniversity of North Carolina at ChapelHill Phillips Hall, CB#3250, Chapel Hill, NC 27599USA

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21828

Reference63 articles.

1. Compact boson stars in K field theories

2. Traveling waves and compactons in phase oscillator lattices;Ahnert K.;Chaos

3. Compactons and chaos in strongly nonlinear lattices;Ahnert K.;Phys. Rev. E

4. Local well-posedness of quasi-linear systems generalizing KdV

5. A sharp condition for the well-posedness of the linear KdV-type equation

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1. Standing and traveling waves in a minimal nonlinearly dispersive lattice model;Physica D: Nonlinear Phenomena;2024-11

2. Global solutions of quasi-linear Hamiltonian mKdV equation;Nonlinear Analysis;2024-03

3. On the Cauchy Problem for the Hall and Electron Magnetohydrodynamic Equations Without Resistivity I: Illposedness Near Degenerate Stationary Solutions;Annals of PDE;2022-07-21

4. On the stability of the compacton waves for the degenerate KdV and NLS models;Quarterly of Applied Mathematics;2022-03-28

5. Stability and interaction of compactons in the sublinear KdV equation;Communications in Nonlinear Science and Numerical Simulation;2021-10

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