Abstract
We prove that the uniform stability at permanently acting disturbances of a given solution of the Navier-Stokes equations for viscous compressible isothermic fluid is a consequence of the uniform exponential stability of the zero solution of so-called linearized equations.
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References
Friedman, A.:Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, 1964.
Neustupa, J.: A principle of linearization and the uniform asymptotic stability of solutions of the Navier-Stokes equations for compressible isothermic fluids,Math. Meth. Appl. Sci. 17 (1994), 251–267.
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The research was supported by the grant No. 201/93/2177 of Grant Agency of Czech Republic.
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Neustupa, J. Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Acta Applicandae Mathematicae 37, 129–136 (1994). https://doi.org/10.1007/BF00995135
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DOI: https://doi.org/10.1007/BF00995135