Volterra series for solving weakly non-linear partial differential equations: application to a dissipative Burgers’ equation

DOI10.1080/002071704200024365zbMath1063.93023OpenAlexW2092131847WikidataQ115310981 ScholiaQ115310981MaRDI QIDQ4652075

Martin Hasler, Thomas Hélie

Publication date: 24 February 2005

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/002071704200024365

zbMATH Keywords

Burgers equationnonlinear PDEVolterra seriesharmonic balancecomputation of the kernel decompositionparameterized Volterra system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear systems in control theory (93C10) Volterra integral equations (45D05)

Related Items (5)

A Volterra series approach to the frequency domain analysis of non-linear viscous Burgers' equation ⋮ The use of Volterra series in the analysis of the nonlinear Schrödinger equation ⋮ On the convergence of Volterra series of finite dimensional quadratic MIMO systems ⋮ Volterra series arising from the discrete Schrödinger wave equation in \(L^{2}[a, b\) space] ⋮ Diffusive Approximation of a Time-Fractional Burger's Equation in Nonlinear Acoustics

Cites Work

• Well-Posedness and Stabilizability of a Viscoelastic Equation in Energy Space

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