Decay of solutions of a higher order multidimensional nonlinear Korteweg–de Vries–Burgers system
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Publication:4303195
DOI10.1017/S0308210500028468zbMath0814.35121MaRDI QIDQ4303195
Publication date: 18 June 1995
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (5)
Boundary control of the generalized Korteweg-de Vries-Burgers equation ⋮ Asymptotic property for the solution to the generalized Korteweg-de Vries equation ⋮ Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions ⋮ Decay estimates for the solutions of some multidimensional nonlinear evolution equations ⋮ Stabilization of the Korteweg-de Vries-Burgers equation with non-periodic boundary feedbacks
Cites Work
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- Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Temporal asymptotic behaviour of solutions of the Benjamin-Ono-Burgers equation
- Initial value problem for a nonlinear parabolic equation with singular integral-differential term
- Dispersion of low-energy waves for two conservative equations
- On the Korteweg - de Vries equation: Existence and uniqueness
- Decay of solution to parabolic conservation laws
- The initial-value problem for the Korteweg-de Vries equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
- Non-linear dispersive waves
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