Mathematical Aspects in Non-equilibrium Thermodynamics
Non-equilibrium thermodynamics is a relatively new field of research, and one which is also becoming increasingly important in engineering applications. However, despite the many approaches developed in recent decades, they all raise questions from a mathematical point of view, for instance on the p...
保存先:
| フォーマット: | Online |
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| 言語: | 英語 |
| 出版事項: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| 主題: | |
| オンライン･アクセス: | ONIX_20230714_9783036577623_52 |
| タグ: |
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| _version_ | 1869523756869746688 |
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| collection | Directory of Open Access Books |
| description | Non-equilibrium thermodynamics is a relatively new field of research, and one which is also becoming increasingly important in engineering applications. However, despite the many approaches developed in recent decades, they all raise questions from a mathematical point of view, for instance on the proper definitions of initial and boundary conditions, analytical and numerical solution methods, and geometrical background. These questions cover numerous topics, including the mathematical analysis of various thermodynamic approaches, the investigation of the resulting governing equations, symmetry analysis of the solutions, and how the numerical methods can be built on the geometrical background. The aim of this Special Issue is to discuss and present up-to-date problems that may not be constrained to the previously mentioned aspects but must be connected to non-equilibrium thermodynamics. Thus, in the present Special Issue we aim to present the open mathematical questions on and characteristics of different thermodynamic approaches. |
| format | Online |
| id | doab-20.500.12854ir-101353 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1013532024-04-11T15:10:58Z Mathematical Aspects in Non-equilibrium Thermodynamics Kovács, Róbert Rogolino, Patrizia Oliveri, Francesco cyclic optimal control finite time thermodynamics endoreversible thermodynamics Stirling optimization shock structure extended thermodynamics kinetic theory of gases TASEP ASEP multi-species Bethe ansatz hyperbolic relaxation system structural stability condition generalized Kreiss condition second law of thermodynamics dissipation principle state space balance laws entropy inequality n/a thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials Non-equilibrium thermodynamics is a relatively new field of research, and one which is also becoming increasingly important in engineering applications. However, despite the many approaches developed in recent decades, they all raise questions from a mathematical point of view, for instance on the proper definitions of initial and boundary conditions, analytical and numerical solution methods, and geometrical background. These questions cover numerous topics, including the mathematical analysis of various thermodynamic approaches, the investigation of the resulting governing equations, symmetry analysis of the solutions, and how the numerical methods can be built on the geometrical background. The aim of this Special Issue is to discuss and present up-to-date problems that may not be constrained to the previously mentioned aspects but must be connected to non-equilibrium thermodynamics. Thus, in the present Special Issue we aim to present the open mathematical questions on and characteristics of different thermodynamic approaches. 2023-07-14T14:26:22Z 2023-07-14T14:26:22Z 2023 book ONIX_20230714_9783036577623_52 9783036577623 9783036577630 https://directory.doabooks.org/handle/20.500.12854/101353 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7448 https://mdpi.com/books/pdfview/book/7448 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-7763-0 10.3390/books978-3-0365-7763-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036577623 9783036577630 90 Basel open access |
| spellingShingle | cyclic optimal control finite time thermodynamics endoreversible thermodynamics Stirling optimization shock structure extended thermodynamics kinetic theory of gases TASEP ASEP multi-species Bethe ansatz hyperbolic relaxation system structural stability condition generalized Kreiss condition second law of thermodynamics dissipation principle state space balance laws entropy inequality n/a thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials Mathematical Aspects in Non-equilibrium Thermodynamics |
| title | Mathematical Aspects in Non-equilibrium Thermodynamics |
| title_full | Mathematical Aspects in Non-equilibrium Thermodynamics |
| title_fullStr | Mathematical Aspects in Non-equilibrium Thermodynamics |
| title_full_unstemmed | Mathematical Aspects in Non-equilibrium Thermodynamics |
| title_short | Mathematical Aspects in Non-equilibrium Thermodynamics |
| title_sort | mathematical aspects in non equilibrium thermodynamics |
| topic | cyclic optimal control finite time thermodynamics endoreversible thermodynamics Stirling optimization shock structure extended thermodynamics kinetic theory of gases TASEP ASEP multi-species Bethe ansatz hyperbolic relaxation system structural stability condition generalized Kreiss condition second law of thermodynamics dissipation principle state space balance laws entropy inequality n/a thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials |
| topic_facet | cyclic optimal control finite time thermodynamics endoreversible thermodynamics Stirling optimization shock structure extended thermodynamics kinetic theory of gases TASEP ASEP multi-species Bethe ansatz hyperbolic relaxation system structural stability condition generalized Kreiss condition second law of thermodynamics dissipation principle state space balance laws entropy inequality n/a thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials |
| url | ONIX_20230714_9783036577623_52 |