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<top_article>
 <mrnumber>MR1401656</mrnumber>
 <author>Ito, Akio and Kenmochi, Nobuyuki</author>
 <author_utf8>Akio ITO and Nobuyuki KENMOCHI</author_utf8>
 <title>Asymptotic behaviour of solutions to phase field models with               constraints</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>39</volume>
 <year>1996</year>
 <page>123--142</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol39/fe39-1-7.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe39-123-142/fe39-123-142.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR1401656</mathsci_link>
<fesi_info>
  <FILE>fe39-123-142</FILE>
  <YEAR>1996</YEAR>
  <TITLE>Asymptotic Behaviour of Solutions to Phase Field Models with Constraints</TITLE>
  <AUTHOR>ITO, Akio; KENMOCHI, Nobuyuki</AUTHOR>
  <AUTHOR_utf8>ITO, Akio; KENMOCHI, Nobuyuki</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Blowey, J. F.; Elliott, C. M.</author>
    <title>Curvature dependent phase boundary motion and parabolic double obstacle problems</title>
    <journal>in Degenerate Diffusions, Springer Verlag, New York</journal>
<page>19-60</page>
    <year>1993</year>
    <mr>MR1246337</mr>
    <query_string>Cache/Bl/Blowey,Curvature,*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>2</bibitem>
    <author>Caginalp, G.</author>
    <title>An analysis of a phase field model of a free boundary</title>
    <journal>Arch. Rational Mech. Anal.</journal>
    <vol>92</vol>
    <year>1986</year>
    <page>205-245</page>
    <mr>MR0816623</mr>
    <score>100</score>
    <query_string>Cache/Ca/Caginalp,analysis,Arch*,1986,1987</query_string>
  </article>

  <article>
    <bibitem>3</bibitem>
    <author>Chafee, N.; Infante, E. F.</author>
    <title>A bifurcation problem for a nonlinear partial differential equation of parabolic type</title>
    <journal>Appl. Anal.</journal>
    <vol>4</vol>
    <year>1974</year>
    <page>17-37</page>
    <mr>MR0440205</mr>
    <score>100</score>
    <query_string>Cache/Ch/Chafee,bifurcation,Appl*,1974,1975</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Damlamian, A.; Kenmochi, N.; Sato, N.</author>
    <title>Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation</title>
    <journal>Nonlinear Anal.</journal>
    <vol>23</vol>
    <year>1994</year>
    <page>115-142</page>
    <mr>MR1288502</mr>
    <score>100</score>
    <query_string>Cache/Da/Damlamian,Subdifferential,Nonlinear*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>5</bibitem>
    <author>Damlamian, A.; Kenmochi, N.; Sato, N.</author>
    <title>Phase field equations with constraints</title>
    <journal>Nonlinear Mathematical Problems in Industry, Gakuto Inter. Ser. Math. Sci. Appl. 2, Gakk&#333;tosho, Tokyo</journal>
    <year>1993</year>
    <page>391-404</page>
    <mr>MR1370479</mr>
    <query_string>Cache/Da/Damlamian,constraints,*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Elliott, C.; Zheng, S.</author>
    <title>Global existence and stability of solutions to the phase field equations</title>
    <journal>Free Boundary Problems, Intern. Ser. Numer. Math. 95, Birkh&#228;user, Basel</journal>
    <year>1990</year>
    <page>46-58</page>
    <mr>MR1111021</mr>
    <query_string>Cache/El/Elliott,existence,*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Fix, G. J.</author>
    <title>Phase field models for free boundary problems</title>
    <journal>Free Boundary Problems: Theory and Applications, Pitman Research Notes Math. Ser. 79, Longman, London</journal>
    <year>1983</year>
    <not_found>Title does not match.</not_found>
    <query_string>Cache/Fi/Fix,boundary,*,1983,1984</query_string>
    <page>580-589</page>
  </article>

  <other>
    <bibitem>8</bibitem>
    <raw_data>Horn, W.; Sprekels, J.; Zheng, S., Global existence of smooth solutions to the Penrose-Fife model for Ising ferromagnets, to appear in Adv. Math. Sci. Appl.</raw_data>
    <mr>MR1385769</mr>
    <score>91</score>
    <query_string>Cache/Ho/Horn,ferromagnets,Adv*,1991,2001</query_string>
  </other>

  <article>
    <bibitem>9</bibitem>
    <author>Kenmochi, N.; Niezg&#243;dka, M.</author>
    <title>Systems of variational inequalities arising in nonlinear diffusion with phase change</title>
    <journal>Free Boundary Problems in Continuum Mechanics, Intern. Ser. Numer. Math. 106, Birkh&#228;user, Basel</journal>
    <year>1992</year>
    <page>149-157</page>
    <mr>MR1229534</mr>
    <query_string>Cache/Ke/Kenmochi,inequalities,*,1992,1993</query_string>
  </article>

  <article>
    <bibitem>10</bibitem>
    <author>Kenmochi, N.; Niezg&#243;dka, M.</author>
    <title>Evolution systems of nonlinear variational inequalities arising from phase change problems</title>
    <journal>Nonlinear Anal.</journal>
    <vol>22</vol>
    <year>1994</year>
    <page>1163-1180</page>
    <mr>MR1279139</mr>
    <score>100</score>
    <query_string>Cache/Ke/Kenmochi,inequalities,Nonlinear*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>11</bibitem>
    <author>Kenmochi, N.; Niezg&#243;dka, M.</author>
    <title>Systems of nonlinear parabolic equations for phase change problems</title>
    <vol>3</vol>
    <journal>Adv. Math. Sci. Appl.</journal>
    <year>1993/1994</year>
    <page>89-117</page>
    <mr>MR1287926</mr>
    <query_string>Cache/Ke/Kenmochi,nonlinear,*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>12</bibitem>
    <author>Lauren&#231;ot, Ph.</author>
    <title>Solutions to a Penrose-Fife model of phase-field type</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>185</vol>
    <year>1994</year>
    <page>262-274</page>
    <mr>MR1283056</mr>
    <query_string>Cache/La/Lauren\cedilla,Penrose-Fife,J*,1994,1995</query_string>
  </article>

  <article>
    <bibitem>13</bibitem>
    <author>Penrose, O.; Fife, P. C.</author>
    <title>Thermodynamically consistent models of phase-field type for the kinetics of phase transitions</title>
    <journal>Physica D</journal>
    <vol>43</vol>
    <year>1990</year>
    <page>44-62</page>
    <mr>MR1060043</mr>
    <score>100</score>
    <query_string>Cache/Pe/Penrose,Thermodynamically,Physica*,1990,1991</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Sprekels, J.; Zheng, S.</author>
    <title>Global smooth solutions to a thermodynamically consistent model of phase-field type in higher space dimensions</title>
    <journal>J. Math. Anal. Appl.</journal>
    <vol>176</vol>
    <year>1993</year>
    <page>200-223</page>
    <mr>MR1222165</mr>
    <score>100</score>
    <query_string>Cache/Sp/Sprekels,thermodynamically,J*,1993,1994</query_string>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Zheng, S.</author>
    <title>Global existence for a thermodynamically consistent model of phase field type</title>
    <journal>Differential Integral Equations</journal>
    <vol>5</vol>
    <year>1992</year>
    <page>241-253</page>
    <mr>MR1148216</mr>
    <score>100</score>
    <query_string>Cache/Zh/Zheng,thermodynamically,Differential*,1992,1993</query_string>
  </article>

</references>
</top_article>
