Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Evolution equations of von Karman type / Pascal Cherrier, Albert Milani
| Evolution equations of von Karman type / Pascal Cherrier, Albert Milani |
| Autore | Cherrier, Pascal |
| Pubbl/distr/stampa | [Cham], : Springer, : Unione matematica italiana, 2015 |
| Descrizione fisica | XVI, 140 p. ; 24 cm |
| Soggetto topico |
58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020]
53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 53D05 - Symplectic manifolds, general [MSC 2020] 35F21 - Hamilton-Jacobi equations [MSC 2020] 53D12 - Lagrangian submanifolds; Maslov index [MSC 2020] 37J06 - General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants [MSC 2020] |
| Soggetto non controllato |
Local and global solutions
Nonlinear evolution equations Partial differential equations Von Karman equations Weak and strong solutions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113685 |
Cherrier, Pascal
|
||
| [Cham], : Springer, : Unione matematica italiana, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Evolution equations of von Karman type / Pascal Cherrier, Albert Milani
| Evolution equations of von Karman type / Pascal Cherrier, Albert Milani |
| Autore | Cherrier, Pascal |
| Pubbl/distr/stampa | [Cham], : Springer, : Unione matematica italiana, 2015 |
| Descrizione fisica | XVI, 140 p. ; 24 cm |
| Soggetto topico |
35F21 - Hamilton-Jacobi equations [MSC 2020]
37J06 - General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants [MSC 2020] 53D05 - Symplectic manifolds, general [MSC 2020] 53D12 - Lagrangian submanifolds; Maslov index [MSC 2020] 53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] |
| Soggetto non controllato |
Local and global solutions
Nonlinear evolution equations Partial differential equations Von Karman equations Weak and strong solutions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional space. We establish local (respectively global) results for strong (resp., weak) solutions of these problems and corresponding well-posedness results in the Hadamard sense. Results are found by obtaining regularity estimates on solutions which are limits of a suitable Galerkin approximation scheme. The book is intended as a pedagogical introduction to a number of meaningful application of classical methods in nonlinear Partial Differential Equations of Evolution. The material is self-contained and most proofs are given in full detail. The interested reader will gain a deeper insight into the power of nontrivial a priori estimate methods in the qualitative study of nonlinear differential equations. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113685 |
|
Cherrier, Pascal
|
||
| [Cham], : Springer, : Unione matematica italiana, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Stochastic partial differential equations: an introduction / Wei Liu, Michael Röckner
| Stochastic partial differential equations: an introduction / Wei Liu, Michael Röckner |
| Autore | Liu, Wei |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | VI, 266 p. : ill. ; 24 cm |
| Altri autori (Persone) | Röckner, Michael |
| Soggetto topico |
47-XX - Operator theory [MSC 2020]
47J35 - Nonlinear evolution equations [MSC 2020] 35-XX - Partial differential equations [MSC 2020] 60J25 - Continuous-time Markov processes on general state spaces [MSC 2020] 60H05 - Stochastic integrals [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 60H10 - Stochastic ordinary differential equations [MSC 2020] 34-XX - Ordinary differential equations [MSC 2020] 60J60 - Diffusion processes [MSC 2020] 60H15 - Stochastic partial differential equations (aspects of stochastic analysis) [MSC 2020] 35Q35 - PDEs in connection with fluid mechanics [MSC 2020] 34G20 - Nonlinear differential equations in abstract spaces [MSC 2020] 34Fxx - Ordinary differential equations and systems with randomness [MSC 2020] 35K58 - Semilinear parabolic equations [MSC 2020] 35K59 - Quasilinear parabolic equations [MSC 2020] |
| Soggetto non controllato |
Explosive Solutions
Gelfand Triples Generalized Coercivity Girsanov Theorem on Hilbert Invariant measures Itô-Formula Locally Monotone Coefficients Markov property Ordinary differential equations Partial differential equations Stochastic 2D and 3D Navier-Stokes Equation Stochastic Cahn-Hilliard Equations Stochastic Evolution Equations Stochastic Partial Differential Equations Stochastic Porous Media Equations Stochastic Surface Growth Models Stochastic integration in Hilbert spaces Stochastic p-Laplace Equations Variational approach Weak and strong solutions Yamada-Watanabe Theorem in Infinite Dimensions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113731 |
|
Liu, Wei
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Stochastic partial differential equations: an introduction / Wei Liu, Michael Röckner
| Stochastic partial differential equations: an introduction / Wei Liu, Michael Röckner |
| Autore | Liu, Wei |
| Pubbl/distr/stampa | [Cham], : Springer, 2015 |
| Descrizione fisica | VI, 266 p. : ill. ; 24 cm |
| Altri autori (Persone) | Röckner, Michael |
| Soggetto topico |
34-XX - Ordinary differential equations [MSC 2020]
34Fxx - Ordinary differential equations and systems with randomness [MSC 2020] 34G20 - Nonlinear differential equations in abstract spaces [MSC 2020] 35-XX - Partial differential equations [MSC 2020] 35K58 - Semilinear parabolic equations [MSC 2020] 35K59 - Quasilinear parabolic equations [MSC 2020] 35Q35 - PDEs in connection with fluid mechanics [MSC 2020] 47-XX - Operator theory [MSC 2020] 47J35 - Nonlinear evolution equations [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 60H05 - Stochastic integrals [MSC 2020] 60H10 - Stochastic ordinary differential equations [MSC 2020] 60H15 - Stochastic partial differential equations (aspects of stochastic analysis) [MSC 2020] 60J25 - Continuous-time Markov processes on general state spaces [MSC 2020] 60J60 - Diffusion processes [MSC 2020] |
| Soggetto non controllato |
Explosive Solutions
Gelfand Triples Generalized Coercivity Girsanov Theorem on Hilbert Invariant measures Itô-Formula Locally Monotone Coefficients Markov property Ordinary differential equations Partial differential equations Stochastic 2D and 3D Navier-Stokes Equation Stochastic Cahn-Hilliard Equations Stochastic Evolution Equations Stochastic Porous Media Equations Stochastic Surface Growth Models Stochastic integration in Hilbert spaces Stochastic p-Laplace Equations Stochastic partial differential equations Variational approach Weak and strong solutions Yamada-Watanabe Theorem in Infinite Dimensions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113731 |
|
Liu, Wei
|
||
| [Cham], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||