Penalty method for the KdV equation

DOI10.1080/00036811.2011.579564zbMath1235.35253OpenAlexW2046916387WikidataQ58280260 ScholiaQ58280260MaRDI QIDQ3225836

Zhen Qin, Roger M. Temam

Publication date: 22 March 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.579564

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

The existence of strong solutions to the 3D Zakharov-Kuznestov equation in a bounded domain ⋮ Evolution partial differential equations with discontinuous data

Cites Work

• Smooth solutions of the heat and wave equations
• Behaviour at time t=0 of the solutions of semi-linear evolution equations
• Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
• On continuity of functions with values in various Banach spaces
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain

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