LEADER 02726nam 2200577 450 001 9910824318603321 005 20230809234354.0 010 $a3-11-054504-7 010 $a3-11-054616-7 024 7 $a10.1515/9783110546163 035 $a(CKB)4340000000203633 035 $a(MiAaPQ)EBC5049528 035 $a(DE-B1597)481254 035 $a(OCoLC)1004866967 035 $a(DE-B1597)9783110546163 035 $a(Au-PeEL)EBL5049528 035 $a(CaPaEBR)ebr11443173 035 $a(CaONFJC)MIL1036853 035 $a(OCoLC)1004539150 035 $a(EXLCZ)994340000000203633 100 $a20171016h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aFree boundaries in rock mechanics /$fAnvarbek Meirmanov, Oleg V. Galtsev, Reshat N. Zimin 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (212 pages) $cillustrations 225 1 $aDe Gruyter Series in Applied and Numerical Mathematics,$x2512-1820 ;$vVolume 1 311 $a3-11-054490-3 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. Introduction -- $t2. The Hele-Shaw problem -- $t3. A joint motion of two immiscible viscous fluids -- $t4. Mathematical models of in-situ leaching -- $t5. Dynamics of cracks in rocks -- $tA. Elements of continuum mechanics -- $tReferences -- $tIndex 330 $aThis monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. ContentsIntroductionThe Hele-Shaw problemA joint motion of two immiscible viscous fluidsMathematical models of in-situ leachingDynamics of cracks in rocksElements of continuum mechanics 410 0$aDe Gruyter series in discrete mathematics and applications ;$vVolume 1. 606 $aBoundary value problems 606 $aRock mechanics 615 0$aBoundary value problems. 615 0$aRock mechanics. 676 $a552/.06 700 $aMei?rmanov$b A. M$g(Anvarbek Mukatovich),$042636 702 $aGaltsev$b Oleg Vladimirovich 702 $aZimin$b Reshat Narimanovich 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824318603321 996 $aFree boundaries in rock mechanics$93966213 997 $aUNINA