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On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation - MaRDI portal

On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation (Q1395312)

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scientific article; zbMATH DE number 1940675
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On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation
scientific article; zbMATH DE number 1940675

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    On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation (English)
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    1 July 2003
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    This paper is devoted to the Cauchy problem for the equation of drift waves. It is shown that no steady-state oscillation mode exists for the generalized potential \(u(x,t)\) related to the Coulomb potential \(\varphi(x,t)\) by the equation \(\varphi(x,t)= d^2u(x,t)/dt^2W\). On the other hand, the steady-state oscillation mode exists for the Coulomb potential \(\varphi(x,t)\).
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    Coulomb potential
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    drift waves
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