1.

Record Nr.

UNINA9910824318603321

Autore

Meĭrmanov A. M (Anvarbek Mukatovich)

Titolo

Free boundaries in rock mechanics / / Anvarbek Meirmanov, Oleg V. Galtsev, Reshat N. Zimin

Pubbl/distr/stampa

Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017

©2017

ISBN

3-11-054504-7

3-11-054616-7

Descrizione fisica

1 online resource (212 pages) : illustrations

Collana

De Gruyter Series in Applied and Numerical Mathematics, , 2512-1820 ; ; Volume 1

Disciplina

552/.06

Soggetti

Boundary value problems

Rock mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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 -- Index

Sommario/riassunto

This 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