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Solvability of generalized nonlinear heat equations with constraints coupled with Navier--Stokes equations in 2D domains
1. | Department of Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601 |
References:
[1] |
T. Fukao and M. Kubo, Time-dependent double obstacle problem in thermohydraulics,, in Nonlinear phenomena with energy dissipation, Vol.29 (2008), 73.
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N. Okazawa, An application of the perturbation theorem for $m$-accretive operators. II,, Proc. Japan Acad. Ser. A Math. Sci., 60 (1984), 10.
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J. Simon, Compact sets in the space $L^p(0,T;B)$,, Ann. Mat. Pura Appl., 146 (1987), 65.
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M. Sobajima, Y. Tsuzuki and T. Yokota, Existence and uniqueness of solutions to nonlinear heat equations with constraints coupled with Navier-Stokes equations in 2D domains,, Adv. Math. Sci. Appl., 22 (2012), 577.
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R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis,, Amsterdam-New York, (1977).
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Y. Tsuzuki, Solvability of $p$-Laplacian parabolic logistic equations with constraints coupled with Navier-Stokes equations in 2D domains,, Evol. Equ. Control Theory, 3 (2014), 191.
|
show all references
References:
[1] |
T. Fukao and M. Kubo, Time-dependent double obstacle problem in thermohydraulics,, in Nonlinear phenomena with energy dissipation, Vol.29 (2008), 73.
|
[2] |
N. Okazawa, An application of the perturbation theorem for $m$-accretive operators. II,, Proc. Japan Acad. Ser. A Math. Sci., 60 (1984), 10.
|
[3] |
J. Simon, Compact sets in the space $L^p(0,T;B)$,, Ann. Mat. Pura Appl., 146 (1987), 65.
|
[4] |
M. Sobajima, Y. Tsuzuki and T. Yokota, Existence and uniqueness of solutions to nonlinear heat equations with constraints coupled with Navier-Stokes equations in 2D domains,, Adv. Math. Sci. Appl., 22 (2012), 577.
|
[5] |
R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis,, Amsterdam-New York, (1977).
|
[6] |
Y. Tsuzuki, Solvability of $p$-Laplacian parabolic logistic equations with constraints coupled with Navier-Stokes equations in 2D domains,, Evol. Equ. Control Theory, 3 (2014), 191.
|
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