| 000 | 02687cam a22004457i 4500 | ||
|---|---|---|---|
| 001 | on1431180461 | ||
| 003 | OCoLC | ||
| 005 | 20240926145705.0 | ||
| 008 | 240426t20242024sz b 001 0 eng d | ||
| 016 | 7 |
_aBD07620789 _2JP-ToKJK |
|
| 020 |
_a3031617339 _q(paperback) |
||
| 020 |
_a9783031617331 _q(paperback) |
||
| 035 |
_a(OCoLC)1431180461 _z(OCoLC)1445885390 |
||
| 040 |
_aYDX _beng _erda _cYDX _dESU _dOCLCO _dQGJ _dLWU _dOHX _dKKS |
||
| 082 | 0 | 4 | _a530.15 |
| 084 |
_a421.5 _2njb/10 |
||
| 100 | 1 |
_aBarbu, Viorel, _eauthor. _4aut _1https://id.oclc.org/worldcat/entity/E39PCjMkYq8WCf89j8YDYr9hpP |
|
| 245 | 1 | 0 |
_aNonlinear Fokker-Planck flows and their probabilistic counterparts / _cViorel Barbu, Michael Röckner. |
| 264 | 1 |
_aCham, Switzerland : _bSpringer, _c[2024] |
|
| 264 | 4 | _c©2024 | |
| 300 |
_aix, 212 pages ; _c24 cm. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_aunmediated _bn _2rdamedia |
||
| 338 |
_avolume _bnc _2rdacarrier |
||
| 490 | 1 |
_aLecture notes in mathematics ; _v2353 |
|
| 504 | _aIncludes bibliographical references (pages 205-209) and index. | ||
| 520 |
_a"This book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory of probabilistically weak solutions to McKean-Vlasov stochastic differential equations and the corresponding nonlinear Markov processes. These are widely acknowledged as essential tools for describing the dynamics of complex systems in disordered media, as well as mean-field models. The resulting stochastic processes elucidate the microscopic dynamics underlying the nonlinear Fokker-Planck equations, whereas the solutions of the latter describe the evolving macroscopic probability distributions. The intended audience for this book primarily comprises specialists in mathematical physics, probability theory and PDEs. It can also be utilized as a one-semester graduate course for mathematicians. Prerequisites for the readers include a solid foundation in functional analysis and probability theory."-- _cBack cover. |
||
| 650 | 0 | _aMathematical physics. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 | _aStochastic analysis. | |
| 650 | 6 | _aPhysique mathématique. | |
| 650 | 6 | _aÉquations différentielles. | |
| 650 | 6 | _aAnalyse stochastique. | |
| 700 | 1 |
_aRöckner, Michael, _d1956- _eauthor. _4aut _1https://id.oclc.org/worldcat/entity/E39PBJxrWfXvwRbgCQ63DrHQv3 |
|
| 830 | 0 |
_aLecture notes in mathematics (Springer-Verlag) ; _v2353. |
|
| 942 |
_2ddc _cBK _n0 |
||
| 948 | _hNO HOLDINGS IN P5A - 16 OTHER HOLDINGS | ||
| 999 |
_c41488 _d41488 |
||