KO‘P O‘CHOVLI SOHADA O‘ZGARUVCHAN ZICHLIK VA MANBA BILAN BERILGAN CHIZIQSIZ PARABOLIK TENGLAMA YECHIMLARINING XOSSALARI
Keywords:
Reaksiya-diffuziya, energiya metodi, blow-up, chiziqsiz tenglama, avtomodel yechim, Gyolder va Young tengsizliklari.Abstract
Ushbu maqolada o‘zgaruvchan zichlik va qo‘shimcha manba bilan berilgan chiziqsiz reaksiya-diffuziya tipidagi tenglamaning turli yechim xossalari tadqiq qilingan. Energiya metodi yordamida ushbu tipdagi istalgan parabolik tenglamaning blow-up holatga kelishi ya’ni chekli vaqtda yechimning cheksizga qarab ketishi isbotlangan. Avtomodel tenglamaga keltirilib masalani yechish uchun eng yaqin boshlang‘ich yaqinlashish-avtomodel yechim va uning noma’lum parametrlari aniqlangan.
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