02760nam 2200589 450 991046783440332120200923020339.03-11-054504-73-11-054616-710.1515/9783110546163(CKB)4340000000203633(MiAaPQ)EBC5049528(DE-B1597)481254(OCoLC)1004866967(DE-B1597)9783110546163(Au-PeEL)EBL5049528(CaPaEBR)ebr11443173(CaONFJC)MIL1036853(OCoLC)1004539150(EXLCZ)99434000000020363320171016h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierFree boundaries in rock mechanics /Anvarbek Meirmanov, Oleg V. Galtsev, Reshat N. ZiminBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (212 pages) illustrationsDe Gruyter Series in Applied and Numerical Mathematics,2512-1820 ;Volume 13-11-054490-3 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. The Hele-Shaw problem -- 3. A joint motion of two immiscible viscous fluids -- 4. Mathematical models of in-situ leaching -- 5. Dynamics of cracks in rocks -- A. Elements of continuum mechanics -- References -- IndexThis 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 De Gruyter series in discrete mathematics and applications ;Volume 1.Boundary value problemsRock mechanicsElectronic books.Boundary value problems.Rock mechanics.552/.06Meĭrmanov A. M(Anvarbek Mukatovich),42636Galtsev Oleg VladimirovichZimin Reshat NarimanovichMiAaPQMiAaPQMiAaPQBOOK9910467834403321Free boundaries in rock mechanics2453386UNINA