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Record Nr. |
UNINA9910461422603321 |
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Autore |
Perestyuk Nikolai A. |
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Titolo |
Differential equations with impulse effects [[electronic resource] ] : multivalued right-hand sides with discontinuities / / by Nikolai A. Perestyuk ... [et al.] |
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Pubbl/distr/stampa |
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Berlin ; ; Boston, : De Gruyter, c2011 |
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ISBN |
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1-283-39862-1 |
9786613398628 |
3-11-021816-X |
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Descrizione fisica |
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1 online resource (324 p.) |
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Collana |
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De Gruyter studies in mathematics, , 0179-0986 ; ; 40 |
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Classificazione |
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Altri autori (Persone) |
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Peresti͡ukN. A (Nikolaĭ Alekseevich) |
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Disciplina |
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Soggetti |
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Impulsive differential equations |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Introduction -- Notation -- Contents -- Chapter 1. Impulsive Differential Equations -- Chapter 2. Impulsive Differential Inclusions -- Chapter 3. Linear Impulsive Differential Inclusions -- Chapter 4. Linear Systems with Multivalued Trajectories -- Chapter 5. Method of Averaging in Systems with Pulse Action -- Chapter 6. Averaging of Differential Inclusions -- Chapter 7. Differential Equations with Discontinuous Right-Hand Side -- Appendix A. Some Elements of Set-Valued Analysis -- Appendix B. Differential Inclusions -- References -- Index |
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Sommario/riassunto |
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Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, |
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violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications. |
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2. |
Record Nr. |
UNINA9910633962903321 |
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Titolo |
Emerging Technologies in Hydraulic Fracturing and Gas Flow Modelling / / edited by Kenneth Imo-Imo Israel Eshiet, Rouzbeh G. Moghanloo |
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Pubbl/distr/stampa |
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London : , : IntechOpen, , 2022 |
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ISBN |
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Descrizione fisica |
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1 online resource (172 pages) |
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Disciplina |
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Soggetti |
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Gas flow - Mathematical models |
Hydraulic fracturing |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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1. Production from Unconventional Petroleum Reservoirs: Précis of Stimulation Techniques and Fluid Systems -- 2. A Review of Fracturing Technologies Utilized in Shale Gas Resources -- 3. Hydraulic Fracturing in Porous and Fractured Rocks -- 4. Hydraulic Fracture Conductivity in Shale Reservoirs -- 5. Review of Geochemical and Geo-Mechanical Impact of Clay-Fluid Interactions Relevant to Hydraulic Fracturing -- 6. Mechanism, Model, and Upscaling of the Gas Flow in Shale Matrix: Revisit. |
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Sommario/riassunto |
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Emerging Technologies in Hydraulic Fracturing and Gas Flow Modelling features the latest strategies for exploiting depleted and unconventional petroleum rock formations as well as simulating associated gas flow mechanisms. The book covers a broad range of multivarious stimulation methods currently applied in practice. It |
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introduces new stimulation techniques including a comprehensive description of interactions between formation/hydraulic fracturing fluids and the host rock material. It provides further insight into practices aimed at advancing the operation of hydrocarbon reservoirs and can be used either as a standalone resource or in combination with other related literature. The book can serve as a propaedeutic resource and is appropriate for those seeking rudimentary information on the exploitation of ultra-impermeable oil and gas reservoirs. Professionals and researchers in the field of petroleum, civil, oil and gas, geotechnical and geological engineering who are interested in the production of unconventional petroleum resources as well as students undertaking studies in similar subject areas will find this to be an instructional reference. |
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