Modulational Instability of Viscous Fluid Conduit Periodic Waves
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Publication:5208287
DOI10.1137/19M1256129zbMath1436.35280arXiv1904.06348OpenAlexW2999704175WikidataQ126359788 ScholiaQ126359788MaRDI QIDQ5208287
Mathew A. Johnson, Wesley R. Perkins
Publication date: 15 January 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.06348
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Waves for incompressible viscous fluids (76D33)
Related Items (3)
Rigorous justification of the Whitham modulation equations for equations of Whitham type ⋮ Solitary wave fission of a large disturbance in a viscous fluid conduit ⋮ Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics
Cites Work
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- Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids
- On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions
- On a Hamiltonian PDE arising in magma dynamics
- The modulational instability for a generalized Korteweg-de Vries equation
- Nondissipative shock waves in two-phase flows
- Spectral and dynamical stability of nonlinear waves
- Interactions of dispersive shock waves
- Painlevé analysis and similarity reductions for the magma equation
- Stability of Small Periodic Waves in Fractional KdV-Type Equations
- An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
- Conservation laws for a nonlinear wave equation
- Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis
- A general approach to linear and non-linear dispersive waves using a Lagrangian
- Degenerate dispersive equations arising in the study of magma dynamics
- Asymptotic Stability of Ascending Solitary Magma Waves
- Modulations of viscous fluid conduit periodic waves
- Dispersive shock waves in viscously deformable media
- A perturbation method for nonlinear dispersive wave problems
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