<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR1454462</mrnumber>
 <author>Inoue, Hiroshi and &#212;tani, Mitsuharu</author>
 <author_utf8>Hiroshi INOUE and Mitsuharu &#212;TANI</author_utf8>
 <title>Periodic problems for heat convection equations in noncylindrical domains</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>40</volume>
 <year>1997</year>
 <page>19--39</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol40/fe40-1-2.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe40-019-039/fe40-019-039.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1454462</mathsci_link>
<fesi_info>
  <FILE>fe40-019-039</FILE>
  <YEAR>1997</YEAR>
  <TITLE>Periodic Problems for Heat Convection Equations in Noncylindrical Domains</TITLE>
  <AUTHOR>INOUE, Hiroshi; &#212;TANI, Mitsuharu</AUTHOR>
  <AUTHOR_utf8>Hiroshi INOUE and Mitsuharu &#212;TANI</AUTHOR_utf8>
</fesi_info>

<references>
  <book>
    <bibitem>1</bibitem>
    <author>Br&#233;zis, H.</author>
    <booktitle>Op&#233;rateurs Maximaux Monotones et Semi-Groupes de Contractions dans les Espaces de Hilbert</booktitle>
    <publisher>Math. Studies, 5, North-Holland, Amsterdam/New York</publisher>
    <year>1973</year>
    <mr>MR0348562</mr>
    <score>100</score>
    <query_string>Cache/Br/Br\'ezis,*,*,1973,1974</query_string>
    <page>vi+183</page>
  </book>

  <book>
    <bibitem>2</bibitem>
    <author>Br&#233;zis, H.</author>
    <booktitle>Analyse Fonctionnelle</booktitle>
    <publisher>Masson, Paris</publisher>
    <year>1983</year>
    <mr>MR0697382</mr>
    <query_string>Cache/Br/Br\'ezis,Fonctionnelle,Masson,*,1983,1984</query_string>
  </book>

  <article>
    <bibitem>3</bibitem>
    <author>Foias, C.; Manley, O.; Temam, R.</author>
    <title>Attractors for the B&#233;nard problem: existence and physical bounds on their fractal dimension</title>
    <journal>Nonlinear Anal. T.M.A.</journal>
    <vol>11</vol>
    <year>1987</year>
    <page>939-967</page>
    <mr>MR0903787</mr>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Fujita, H.; Kato, T.</author>
    <title>On the Navier-Stokes initial value problem, I</title>
    <journal>Arch. R.M.A.</journal>
    <vol>16</vol>
    <year>1964</year>
    <page>269-315</page>
    <mr>MR0166499</mr>
    <score>100</score>
    <query_string>Cache/Fu/Fujita,Navier-Stokes,Arch*,1964,1965</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Ghidaglia, J. M.</author>
    <title>On the fractal dimension of attractor for viscous incompressible fluid flow</title>
    <journal>SIAM. Math. Anal.</journal>
    <vol>17</vol>
    <year>1986</year>
    <page>1139-1157</page>
    <mr>MR0853521</mr>
    <score>81</score>
    <query_string>Cache/Gh/Ghidaglia,incompressible,SIAM*,1986,1987</query_string>
  </article>

  <fearticle>
    <bibitem>6</bibitem>
    <author>Hishida, T.</author>
    <title>Existence and regularizing properties of solutions for the nonstationary convection problem</title>
    <journal>Funkcial. Ekvac.</journal>
    <vol>34</vol>
    <year>1991</year>
    <page>449-474</page>
    <mr>MR1150874</mr>
<feart>1150874</feart>
    <score>100</score>
    <query_string>Cache/Hi/Hishida,nonstationary,Funkcial*,1991,1992</query_string>
  </fearticle>

  <article>
    <bibitem>7</bibitem>
    <author>Inoue, H.; &#212;tani, M.</author>
    <title>Strong solutions of initial boundary value problems for heat convection equations in noncylindrical domains</title>
    <journal>Nonlinear Anal. T.M.A.</journal>
    <vol>24</vol>
    <year>1995</year>
    <page>1061-1080</page>
    <mr>MR1321745</mr>
    <score>92</score>
    <query_string>Cache/In/Inoue,noncylindrical,Nonlinear*,1995,1996</query_string>
  </article>

  <book>
    <bibitem>8</bibitem>
    <author>Joseph, D.</author>
    <booktitle>Stability of Fluid Motions I</booktitle>
    <publisher>Springer</publisher>
    <year>1976</year>
    <mr>MR0449147</mr>
    <query_string>Cache/Jo/Joseph,Stability,Springer*,1976,1977</query_string>
  </book>

  <book>
    <bibitem>9</bibitem>
    <author>Joseph, D.</author>
    <booktitle>Stability of Fluid Motions II</booktitle>
    <publisher>Springer</publisher>
    <year>1976</year>
    <mr>MR0627612</mr>
    <query_string>Cache/Jo/Joseph,Stability,Springer*,1976,1977</query_string>
  </book>

  <article>
    <bibitem>10</bibitem>
    <author>Kenmochi, N.</author>
    <title>Solvability of nonlinear equations with time-dependent constrains and applications</title>
    <journal>Bull. Fac. Education Chiba Univ.</journal>
    <vol>30</vol>
    <year>1981</year>
    <page>1-87</page>
    <mr></mr>
    <query_string>Cache/Ke/Kenmochi,time-dependent,Bull*,1981,1982</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Kirchg&#228;ssner, K.; Kielh&#246;fer, H.</author>
    <title>Stability and bifurcation in fluid dynamics</title>
    <journal>Rocky M.J.M.</journal>
    <vol>3</vol>
    <year>1973</year>
    <page>275-318</page>
    <mr>MR0319457</mr>
    <score>100</score>
    <query_string>Cache/Ki/Kirchg\&quot;assner,bifurcation,Rocky*,1973,1974</query_string>
  </article>

  <book>
    <bibitem>12</bibitem>
    <author>Ladyzhenskaya, O. A.</author>
    <booktitle>The Mathematical Theory of Viscous Incompressible Flow</booktitle>
    <publisher>Gordon &amp; Breach, New York</publisher>
    <year>1969</year>
    <mr>MR0254401</mr>
    <query_string>Cache/La/Ladyzhenskaya,Incompressible,Gordon*,1969,1970</query_string>
  </book>

  <article>
    <bibitem>13</bibitem>
    <author>Morimoto, H.</author>
    <title>On the existence of weak solutions of equation of natural convection</title>
    <journal>J. Fac. Sci. Univ. Tokyo</journal>
    <vol>36</vol>
    <year>1989</year>
    <page>87-102</page>
    <mr>MR0991021</mr>
    <score>100</score>
    <query_string>Cache/Mo/Morimoto,convection,J*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>&#332;eda, K.</author>
    <title>Weak and strong solutions of the heat convection equations in region with moving boundaries</title>
    <journal>J. Fac. Sci. Univ. Tokyo</journal>
    <vol>36</vol>
    <year>1989</year>
    <page>491-536</page>
    <mr>MR1039484</mr>
    <query_string>Cache/ba/\bar,convection,J*,1989,1990</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>&#212;tani, M.</author>
    <title>Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems</title>
    <journal>Cauchy problems, J. Differential Equations</journal>
    <vol>46</vol>
    <year>1982</year>
    <page>268-299</page>
    <mr>MR0675911</mr>
    <query_string>Cache/^O/\^Otani,subdifferential,Cauchy*,1982,1983</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>&#212;tani, M.</author>
    <title>Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems</title>
    <journal>J. Differential Equations</journal>
    <vol>54</vol>
    <year>1984</year>
    <page>248-273</page>
    <mr>MR0757295</mr>
    <query_string>Cache/^O/\^Otani,subdifferential,Periodic*,1984,1985</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>&#212;tani, M.</author>
    <title>Nonlinear evolution equations with time-dependent constraints</title>
    <journal>Adv. Math. Sci. Appl.</journal>
    <vol>3</vol>
    <year>1993-1994</year>
    <page>383-399</page>
    <mr>MR1287937</mr>
    <score>100</score>
    <query_string>Cache/^O/\^Otani,time-dependent,Adv*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>&#212;tani, M.; Yamada, Y.</author>
    <title>On the Navier-Stokes equations in noncylindrical domains: An approach by the subdifferential operator theory</title>
    <journal>J. Fac. Sci. Univ. Tokyo</journal>
    <vol>25</vol>
    <year>1978</year>
    <page>185-204</page>
    <mr>MR0509584</mr>
    <score>100</score>
    <query_string>Cache/^O/\^Otani,subdifferential,J*,1978,1979</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Serrin, J.</author>
    <title>The initial value problem for the Navier-Stokes equations</title>
    <journal>Nonlinear Problems. Univ. Wisconsin Press</journal>
    <year>1963</year>
    <page>69-98</page>
    <mr>MR0150444</mr>
    <query_string>Cache/Se/Serrin,Navier-Stokes,Nonlinear*,1963,1964</query_string>
  </article>

  <book>
    <bibitem>20</bibitem>
    <author>Temam, R.</author>
    <booktitle>Navier-Stokes Equations</booktitle>
    <publisher>North-Holland</publisher>
    <year>1979</year>
    <mr>MR0603444</mr>
    <query_string>Cache/Te/Temam,Navier-Stokes,North-Holland*,1979,1980</query_string>
  </book>

  <article>
    <bibitem>21</bibitem>
    <author>Yamada, Y.</author>
    <title>Periodic solutions of certain nonlinear parabolic differential equations in domains with periodically moving boundaries</title>
    <journal>Nagoya Math. J.</journal>
    <vol>70</vol>
    <year>1978</year>
    <page>111-123</page>
    <mr>MR0492875</mr>
    <score>100</score>
    <query_string>Cache/Ya/Yamada,solutions,Nagoya*,1978,1979</query_string>
  </article>

</references>
</top_article>
