Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour (Q5961747)
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scientific article; zbMATH DE number 982641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour |
scientific article; zbMATH DE number 982641 |
Statements
Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour (English)
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8 October 1997
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This work derives error bounds for Runge-Kutta discretizations of semilinear parabolic equations with non-smooth initial data, including reaction-diffusion equations and the incompressible Navier-Stokes equations. The results are of the type needed in the studies of long-time behavior and the application corresponds to asymptotically stable periodic orbits.
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Runge-Kutta time discretization
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error bounds
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semilinear parabolic equations
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reaction-diffusion equations
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Navier-Stokes equations
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long-time behavior
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asymptotically stable periodic orbits
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