Navier-Stokes eq.












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$begingroup$


It is well known that the semigroup generated by the Stokes operator has exponential decay in the $L^p$ norm on bounded domain.



But I do not know the proof. How do you prove this fact?










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$endgroup$












  • $begingroup$
    It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
    $endgroup$
    – hardmath
    Dec 4 '18 at 19:12


















0












$begingroup$


It is well known that the semigroup generated by the Stokes operator has exponential decay in the $L^p$ norm on bounded domain.



But I do not know the proof. How do you prove this fact?










share|cite|improve this question











$endgroup$












  • $begingroup$
    It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
    $endgroup$
    – hardmath
    Dec 4 '18 at 19:12
















0












0








0





$begingroup$


It is well known that the semigroup generated by the Stokes operator has exponential decay in the $L^p$ norm on bounded domain.



But I do not know the proof. How do you prove this fact?










share|cite|improve this question











$endgroup$




It is well known that the semigroup generated by the Stokes operator has exponential decay in the $L^p$ norm on bounded domain.



But I do not know the proof. How do you prove this fact?







parabolic-pde






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 4 '18 at 19:15









hardmath

29k953100




29k953100










asked Dec 4 '18 at 18:18









K. TK. T

1




1












  • $begingroup$
    It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
    $endgroup$
    – hardmath
    Dec 4 '18 at 19:12




















  • $begingroup$
    It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
    $endgroup$
    – hardmath
    Dec 4 '18 at 19:12


















$begingroup$
It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
$endgroup$
– hardmath
Dec 4 '18 at 19:12






$begingroup$
It would greatly improve your Question to give a reference (citation or link) to where you saw this exponential decay described. A proof will of course depend on precise definitions and premises for the claim. Also, if you edit the body of the Question, it would be an opportunity to improve the title so that it better indicates what you are asking.
$endgroup$
– hardmath
Dec 4 '18 at 19:12












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