Reshenie Zadach, Opisyvayushchikh Raspredelenie Tepla V Materiale S Treshchinoy

V knige rassmatrivayutsya nachal'no-kraevaya i kraevaya zadachi, opisyvayushchie raspredelenie tepla v neodnorodnom materiale s treshchinoy po otrezku. Stroitsya obobshchennoe reshenie zadach v sluchae eksponentsial'nogo koeffitsienta vnutrenney teploprovodnosti.Dokazyvaetsya sushchestvovanie resheniya zadachi o statsionarnom raspredelenii tepla v ploskosti s treshchinoy v sluchae peremennogo koeffitsienta teploprovodnosti bolee obshchego vida.Vypisyvayutsya singulyarnye chleny asimptoticheskikh predstavleniy resheniy i ikh pervykh proizvodnykh po rasstoyaniyu do granitsy oblasti. V nestatsionarnom sluchae takzhe vypisyvayutsya asimptotiki resheniya pri bol'shom vremeni.