| 000 | 02801nlm1a2200385 4500 | ||
|---|---|---|---|
| 001 | 644110 | ||
| 005 | 20231030040608.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\9159 | ||
| 090 | _a644110 | ||
| 100 | _a20151028a2015 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aAsymptotic Behavior of the One-Dimensional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Anomalouos Diffusion _fA. A. Prozorov, A. Yu. Trifonov, A. V. Shapovalov |
|
| 203 |
_aText _celectronic |
||
| 225 | 1 | _aElementary particle physics and field theory | |
| 300 | _aTitle screen | ||
| 320 | _a[References: p. 409 (22 tit.)] | ||
| 330 | _aAsymptotic solutions of the nonlocal, one-dimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with fractional derivatives in the diffusion operator are constructed. The fractional derivative is defined in accordance with the approaches of Weyl, Grьnwald–Letnilkov, and Liouville. Asymptotic solutions are constructed in a class of functions that are a perturbation of the found exact quasistationary solution and tend at large times to this quasistationary solution. It is shown that the presence of fractional derivatives leads to drift of the center of mass of the initial distribution and breaks its symmetry. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tRussian Physics Journal _oScientific Journal _d1965- |
||
| 463 |
_tVol. 58, iss. 3 _v[P. 399-409] _d2015 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _anonlocal fisher | |
| 610 | 1 | _aanomalous diffusion | |
| 610 | 1 | _aasymmetric solutions | |
| 700 | 1 |
_aProzorov _bA. A. _cmathematician _cLaboratory assistant of Tomsk Polytechnic University _f1994- _gAlexander Andreevich _2stltpush _3(RuTPU)RU\TPU\pers\32696 |
|
| 701 | 1 |
_aTrifonov _bA. Yu. _cphysicist, mathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1963- _gAndrey Yurievich _2stltpush _3(RuTPU)RU\TPU\pers\30754 |
|
| 701 | 1 |
_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734 |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bФизико-технический институт (ФТИ) _bКафедра высшей математики и математической физики (ВММФ) _h139 _2stltpush _3(RuTPU)RU\TPU\col\18727 |
| 801 | 2 |
_aRU _b63413507 _c20151028 _gRCR |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/s11182-015-0514-9 |
| 942 | _cCF | ||