On the blow-up of solutions of the Benjamin-Bona-Mahony-Burgers and Rosenau-Burgers equations
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Publication:412612
DOI10.1016/j.na.2011.06.032zbMath1238.35101OpenAlexW2037820310MaRDI QIDQ412612
Publication date: 4 May 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.06.032
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44)
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Cites Work
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- On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
- On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations
- Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions
- On a class of nonlinear BBM-like equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- A better asymptotic profile of Rosenau-Burgers equation
- Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary
- Asymptotics for dissipative nonlinear equations
- On blow-up of solutions of the Kuramoto-Sivashinsky equation
- Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves
- Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions
- On the Rosenau equation in multidimensional space
- An integrable shallow water equation with peaked solitons
- Model equations for long waves in nonlinear dispersive systems
- Critical nonlinearities in partial differential equations
- On existence theorems of periodic traveling wave solutions to the two-dimensional korteweg-devries equation
