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Autowave Processes in Kinetic Systems : Spatial and Temporal Self-Organisation in Physics, Chemistry, Biology, and Medicine / V. A. Vasiliev ... [et al.]
| Autowave Processes in Kinetic Systems : Spatial and Temporal Self-Organisation in Physics, Chemistry, Biology, and Medicine / V. A. Vasiliev ... [et al.] |
| Pubbl/distr/stampa | Dordrecht, : D. Reidel, 1987 |
| Descrizione fisica | vi, 262 p. : ill. ; 24 cm |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
35B05 - Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 68Q45 - Formal languages and automata [MSC 2020] 80A25 - Combustion [MSC 2020] 80A30 - Chemical kinetics in thermodynamics and heat transfer [MSC 2020] |
| Soggetto non controllato |
Bifurcations
Biology Differential Equations Stability |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Probably, we are obliged to Science, more than to any other field of the human activity, for the origin of our sense that collective efforts are necessary indeed. F. Joliot-Curie The study of autowave processes is a young science. Its basic concepts and methods are still in the process of formation, and the field of its applications to various domains of natural sciences is expanding continuously. Spectacular examples of various autowave processes are observed experimentally in numerous laboratories of quite different orientations, dealing with investigations in physics, chemistry and biology. It is O1). r opinion, however, that if a history of the discovery of autowaves will he written some day its author should surely mention three fundamental phenomena which were the sources of the domain in view. "Ve mean combustion and phase transition waves, waves in chemical reactors where oxidation-reduction processes take place, and propagation of excitations in nerve fibres. The main tools of the theory of autowave processes are various methods used for investigating nonlinear discrete or distributed oscillating systems, the mathe matical theory of nonlinear parabolic differential equations, and methods of the theory of finite automata. It is noteworthy that the theory of autowave,. , has been greatly contributed to be work of brilliant mathematicians who anticipated the experimental discoveries in their abstract studies. One should mention R. Fishel' (1937), A. N. Kolmogorov, G. 1. Petrovskii, and N. S. Piskunov (1937), N. Wiener and A. Rosenbluth (1946), A. Turing (1952). |
| Record Nr. | UNICAMPANIA-VAN00266394 |
| Dordrecht, : D. Reidel, 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Compressible fluid flow and systems of conservation laws in several space variables / A. Majda
| Compressible fluid flow and systems of conservation laws in several space variables / A. Majda |
| Autore | Majda, Andrew J. |
| Pubbl/distr/stampa | New York, : Springer, 1984 |
| Descrizione fisica | VIII, 159 p. ; 24 cm. |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
80A25 - Combustion [MSC 2020] 76N15 - Gas dynamics, general [MSC 2020] 76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [MSC 2020] 76Vxx - Reaction effects in flows [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] |
| ISBN | 978-03-87960-37-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0033963 |
Majda, Andrew J.
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| New York, : Springer, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Compressible fluid flow and systems of conservation laws in several space variables / A. Majda
| Compressible fluid flow and systems of conservation laws in several space variables / A. Majda |
| Autore | Majda, Andrew J. |
| Pubbl/distr/stampa | New York, : Springer, 1984 |
| Descrizione fisica | VIII, 159 p. ; 24 cm |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
80A25 - Combustion [MSC 2020] 76N15 - Gas dynamics, general [MSC 2020] 76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [MSC 2020] 76Vxx - Reaction effects in flows [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] |
| Soggetto non controllato |
Compressible Flow
Conservation law Flows Gas Dynamics Shockwave Systems |
| ISBN | 978-03-87960-37-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0033963 |
|
Majda, Andrew J.
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||
| New York, : Springer, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Compressible fluid flow and systems of conservation laws in several space variables / A. Majda
| Compressible fluid flow and systems of conservation laws in several space variables / A. Majda |
| Autore | Majda, Andrew J. |
| Pubbl/distr/stampa | New York, : Springer, 1984 |
| Descrizione fisica | viii, 159 p. ; 24 cm |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
80A25 - Combustion [MSC 2020] 76N15 - Gas dynamics, general [MSC 2020] 76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [MSC 2020] 76Vxx - Reaction effects in flows [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] |
| Soggetto non controllato |
Compressible Flow
Conservation law Flows Gas Dynamics Shockwave Systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0268653 |
|
Majda, Andrew J.
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||
| New York, : Springer, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Compressible fluid flow and systems of conservation laws in several space variables / A. Majda
| Compressible fluid flow and systems of conservation laws in several space variables / A. Majda |
| Autore | Majda, Andrew J. |
| Pubbl/distr/stampa | New York, : Springer, 1984 |
| Descrizione fisica | VIII, 159 p. ; 24 cm |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] 76N15 - Gas dynamics, general [MSC 2020] 76Vxx - Reaction effects in flows [MSC 2020] 80A25 - Combustion [MSC 2020] |
| Soggetto non controllato |
Compressible Flow
Conservation Laws Flows Gas Dynamics Shockwave Systems |
| ISBN | 978-03-87960-37-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00033963 |
|
Majda, Andrew J.
|
||
| New York, : Springer, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Compressible fluid flow and systems of conservation laws in several space variables / A. Majda
| Compressible fluid flow and systems of conservation laws in several space variables / A. Majda |
| Autore | Majda, Andrew J. |
| Pubbl/distr/stampa | New York, : Springer, 1984 |
| Descrizione fisica | viii, 159 p. ; 24 cm |
| Soggetto topico |
76-XX - Fluid mechanics [MSC 2020]
76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [MSC 2020] 76Lxx - Shock waves and blast waves in fluid mechanics [MSC 2020] 76N15 - Gas dynamics, general [MSC 2020] 76Vxx - Reaction effects in flows [MSC 2020] 80A25 - Combustion [MSC 2020] |
| Soggetto non controllato |
Compressible Flow
Conservation Laws Flows Gas Dynamics Shockwave Systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' ... ,u ) and u(x,t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..• ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268653 |
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Majda, Andrew J.
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| New York, : Springer, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Dynamical Issues in Combustion Theory / Paul C. Fife, Amable Liñán, Forman Williams Editors
| Dynamical Issues in Combustion Theory / Paul C. Fife, Amable Liñán, Forman Williams Editors |
| Pubbl/distr/stampa | New York [etc.], : Springer, 1991 |
| Descrizione fisica | xiii, 257 p. : ill. ; 24 cm |
| Soggetto topico |
65Pxx - Numerical problems in dynamical systems [MSC 2020]
76Fxx - Turbulence [MSC 2020] 80A25 - Combustion [MSC 2020] 80A30 - Chemical kinetics in thermodynamics and heat transfer [MSC 2020] 80A32 - Chemically reacting flows [MSC 2020] |
| Soggetto non controllato |
Chaos
Combustion Geometry Mathematical Modeling Modeling Stability Turbulence Waves |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00288712 |
| New York [etc.], : Springer, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Geometric theory of semilinear parabolic equations / Dan Henry
| Geometric theory of semilinear parabolic equations / Dan Henry |
| Autore | Henry, Daniel |
| Pubbl/distr/stampa | 3. printing - Berlin, : Springer, 1981 [stampa 1993] |
| Descrizione fisica | IV, 348 p. ; 25 cm. |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
47Exx - Ordinary differential operators [MSC 2020] 35B35 - Stability in context of PDEs [MSC 2020] 45Dxx - Volterra integral equations [MSC 2020] 47Fxx - Partial differential operators [MSC 2020] 35B10 - Periodic solutions to PDEs [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 35B15 - Almost and pseudo-almost periodic solutions to PDEs [MSC 2020] 35B50 - Maximum principles in context of PDEs [MSC 2020] 80A25 - Combustion [MSC 2020] 92D25 - Population dynamics (general) [MSC 2020] 35K61 - Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations [MSC 2020] 34G20 - Nonlinear differential equations in abstract spaces [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] |
| ISBN | 978-35-401-0557-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0055577 |
|
Henry, Daniel
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| 3. printing - Berlin, : Springer, 1981 [stampa 1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Geometric theory of semilinear parabolic equations / Dan Henry
| Geometric theory of semilinear parabolic equations / Dan Henry |
| Autore | Henry, Daniel |
| Pubbl/distr/stampa | 3. printing - Berlin, : Springer, 1981 [stampa 1993] |
| Descrizione fisica | IV, 348 p. ; 25 cm |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
47Exx - Ordinary differential operators [MSC 2020] 35B35 - Stability in context of PDEs [MSC 2020] 45Dxx - Volterra integral equations [MSC 2020] 47Fxx - Partial differential operators [MSC 2020] 35B10 - Periodic solutions to PDEs [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 35B15 - Almost and pseudo-almost periodic solutions to PDEs [MSC 2020] 35B50 - Maximum principles in context of PDEs [MSC 2020] 80A25 - Combustion [MSC 2020] 92D25 - Population dynamics (general) [MSC 2020] 35K61 - Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations [MSC 2020] 34G20 - Nonlinear differential equations in abstract spaces [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] |
| Soggetto non controllato |
Differential equations
Dynamic systems Equations Geometric theory Invariants Manifolds Parabolic differential equations Partial differential equations Stability eXist |
| ISBN | 978-35-401-0557-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0055577 |
|
Henry, Daniel
|
||
| 3. printing - Berlin, : Springer, 1981 [stampa 1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Geometric theory of semilinear parabolic equations / Dan Henry
| Geometric theory of semilinear parabolic equations / Dan Henry |
| Autore | Henry, Daniel |
| Pubbl/distr/stampa | 3. printing. - Berli, : Springe, 1981 [stampa 1993 |
| Descrizione fisica | IV, 348 p ; 25 c |
| Soggetto topico |
34G20 - Nonlinear differential equations in abstract spaces [MSC 2020]
35-XX - Partial differential equations [MSC 2020] 35B10 - Periodic solutions to PDEs [MSC 2020] 35B15 - Almost and pseudo-almost periodic solutions to PDEs [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 35B35 - Stability in context of PDEs [MSC 2020] 35B40 - Asymptotic behavior of solutions to PDEs [MSC 2020] 35B50 - Maximum principles in context of PDEs [MSC 2020] 35K55 - Nonlinear parabolic equations [MSC 2020] 35K61 - Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations [MSC 2020] 45Dxx - Volterra integral equations [MSC 2020] 47Exx - Ordinary differential operators [MSC 2020] 47Fxx - Partial differential operators [MSC 2020] 80A25 - Combustion [MSC 2020] 92D25 - Population dynamics (general) [MSC 2020] |
| Soggetto non controllato |
Differential Equations
Dynamic Systems Equations Geometric theory Invariants Manifolds Parabolic differential equations Partial Differential Equations Stability eXist |
| ISBN | 978-35-401-0557-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00055577 |
|
Henry, Daniel
|
||
| 3. printing. - Berli, : Springe, 1981 [stampa 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
