Stability of strong detonation waves and rates of convergence.

Li, Tong

Displaying similar documents to “Stability of strong detonation waves and rates of convergence.”

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type

Hakkaev, Sevdzhan (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30. This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type. By applying the abstract results of Grillakis, Shatah and Strauss and detailed spectral analysis, we obtain the existence and stability of the solitary waves. Partially Supported by Grant MM-810/98 of MESC and by Scientefic Research Grant 19/12.03.2003...

Interaction of shock waves in gas dynamics: uniform in time asymptotics.

García-Alvarado, M.G., Flores-Espinoza, R., Omel'yanov, G.A. (2005)

International Journal of Mathematics and Mathematical Sciences

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A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations.

Easwaran, Chirakkal V. (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence and stability of solitary waves of Boussinesq-type equations

Stubbe, Joachim (1989)

Portugaliae mathematica

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Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.

Martinez, Antonio Olivas, Omel'yanov, Georgy A. (2009)

International Journal of Mathematics and Mathematical Sciences

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Stabilization of a wave-wave system.

Aissa, N., Hamroun, D. (2004)

Portugaliae Mathematica. Nova Série

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Variable depth KdV equations and generalizations to more nonlinear regimes

Samer Israwi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the Camassa-Holm equation) can be derived and justified [Constantin and Lannes, (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account variable bottom...