Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization (Q1279837)
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scientific article; zbMATH DE number 1251315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization |
scientific article; zbMATH DE number 1251315 |
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Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization (English)
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11 April 1999
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The following semilinear problem on a Banach space is studied: \(du/dt+ A(\lambda)u= F(u,\lambda)\) under certain assumptions on \(F\) and \(A\). The finite-dimensional parameter \(\lambda\) varies in the neighborhood of a bifurcation point. This problem includes reaction-diffusion and incompressible Navier-Stokes equations. The authors show that Hopf bifurcations are correctly represented by Runge-Kutta time discretization.
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reaction-diffusion equation
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semidiscretization
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semilinear parabolic equation
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Banach space
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Navier-Stokes equations
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Hopf bifurcations
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Runge-Kutta time discretization
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