Global existence of solutions to the Fowler equation in a neighbourhood of travelling-waves

DOI10.1155/2011/408704zbMath1234.35295OpenAlexW2164160158WikidataQ58686779 ScholiaQ58686779MaRDI QIDQ762946

Afaf Bouharguane

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/408704

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Cites Work

• On the instability of a nonlocal conservation law
• Simultaneous denoising and enhancement of signals by a fractal conservation law
• A non-monotone nonlocal conservation law for dune morphodynamics
• Existence of travelling-wave solutions and local well-posedness of the Fowler equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
• Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
• Dunes and Drumlins

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