Symmetry analysis and reduction of two-dimensional Fokker-Planck equation with variable matrix of diffusion
Fokker-Planck equation from the stochastic theory, which has a homogeneous drift coefficient and a variable diffusion coefficient is considered. Lie symmetries are investigated and exact solutions are constructed.
Saved in:
| Date: | 2006 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Authors: | Stogniy, V., Стогній, В. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2006
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/473 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of UkraineSimilar Items
On Derivation of Fokker—Planck Equation
by: L. V. Tanatarov
Published: (2013)
by: L. V. Tanatarov
Published: (2013)
Non-Markovian Fokker-Planck equations and turbulent diffusion in plasmas
by: Zagorodny, A., et al.
Published: (1998)
by: Zagorodny, A., et al.
Published: (1998)
Approximate solution for Fokker-Planck equation
by: Drigo Filho, E., et al.
Published: (2015)
by: Drigo Filho, E., et al.
Published: (2015)
On properties of solutions for Fokker-Planck-Kolmogorov equations
by: I. P. Medynsky
Published: (2020)
by: I. P. Medynsky
Published: (2020)
Nonlinear Fokker-Planck Equation in the Model of Asset Returns
by: Shapovalov, A., et al.
Published: (2008)
by: Shapovalov, A., et al.
Published: (2008)
Generalized Fokker–Planck equation for the distribution function of liquidity accumulation
by: B. Hnativ, et al.
Published: (2019)
by: B. Hnativ, et al.
Published: (2019)
The generalized Fokker−Planck kinetic equation of open quantum systems
by: V. I. Herasymenko
Published: (2018)
by: V. I. Herasymenko
Published: (2018)
Numerical algorithm based on the PDE method for solution of the Fokker Planck equation
by: Dolinska, M.
Published: (2011)
by: Dolinska, M.
Published: (2011)
Fokker-Planck equation for trapped particles in tokamak with toroidal field ripples
by: Moskvitina, Yu.K., et al.
Published: (2010)
by: Moskvitina, Yu.K., et al.
Published: (2010)
How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?
by: Brics, M., et al.
Published: (2013)
by: Brics, M., et al.
Published: (2013)
Symmetry reduction of partial differential equations with two independent variables
by: Tsyfra, I., et al.
Published: (2006)
by: Tsyfra, I., et al.
Published: (2006)
Fokker-Planck equation with memory: the cross over from ballistic to diffusive processes in many particle systems and incompressible media
by: Ilyin, V., et al.
Published: (2013)
by: Ilyin, V., et al.
Published: (2013)
The non-Markovian Fokker–Planck kinetic equation for a system of hard spheres
by: I. V. Hapiak, et al.
Published: (2014)
by: I. V. Hapiak, et al.
Published: (2014)
Global Weak Solutions of the Navier-Stokes/Fokker-Planck/Poisson Linked Equations
by: O. Anoshchenko, et al.
Published: (2014)
by: O. Anoshchenko, et al.
Published: (2014)
Long-Time Behavior of Nonautonomous Fokker-Planck Equations and Cooling of Granular Gases
by: Lods, B., et al.
Published: (2005)
by: Lods, B., et al.
Published: (2005)
Global Weak Solutions of the Navier-Stokes/Fokker-Planck/Poisson Linked Equations
by: Anoshchenko, O., et al.
Published: (2014)
by: Anoshchenko, O., et al.
Published: (2014)
Global weak solutions of the Navier-Stokes-Fokker-Planck system
by: S. M. Egorov, et al.
Published: (2013)
by: S. M. Egorov, et al.
Published: (2013)
Modelling Non-stationary Time Series of Economic Dynamics on the Basis of Fokker – Planck Equations
by: O. O. Isaienko
Published: (2014)
by: O. O. Isaienko
Published: (2014)
The Fokker-Planck Equation for the System "Brownian Particle in Thermostat" Based on the Presented Probability Approach
by: Hubal, H.M.
Published: (2010)
by: Hubal, H.M.
Published: (2010)
Generalized Fokker-Planck equation and its solution for linear non-Markovian Gaussian systems
by: Sliusarenko, O.Yu.
Published: (2011)
by: Sliusarenko, O.Yu.
Published: (2011)
Dynamic simulation of statistical distributions of the air temperature by using the Ornstein–Uhlenbeck process and the Fokker–Planck equation
by: L. A. Kovalchuk
Published: (2014)
by: L. A. Kovalchuk
Published: (2014)
Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
by: Carignano, A., et al.
Published: (2011)
by: Carignano, A., et al.
Published: (2011)
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
by: Shapovalov, A.V., et al.
Published: (2007)
by: Shapovalov, A.V., et al.
Published: (2007)
The Nonlocal Ansatze and Reduction of Nonlinear System of Convection-Diffusion Equations with Chemotaxis Matrix of Diffusion
by: O. M. Omelian
Published: (2018)
by: O. M. Omelian
Published: (2018)
On the classification of symmetry reductions for the (1+3)-dimensional Monge-Ampere equation
by: V. M. Fedorchuk, et al.
Published: (2020)
by: V. M. Fedorchuk, et al.
Published: (2020)
Reduction of multi-dimensional d'Alembert equations to two-dimensional equations: ansatzes, compatibility of the reduction conditions, reduced equations
by: Yehorchenko, I., et al.
Published: (2006)
by: Yehorchenko, I., et al.
Published: (2006)
Classification of symmetry properties of the (1+2)-dimensional reaction – convection – diffusion equation
by: M. I. Sierov, et al.
Published: (2019)
by: M. I. Sierov, et al.
Published: (2019)
On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group
by: Franco, J.A.
Published: (2013)
by: Franco, J.A.
Published: (2013)
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case
by: Gordon, J.M., et al.
Published: (2016)
by: Gordon, J.M., et al.
Published: (2016)
Group analysis of two-dimensional SchrЁodinger equations with variable mass
by: T. M. Zasadko
Published: (2015)
by: T. M. Zasadko
Published: (2015)
Separation of variables in the two-dimensional wave equation with potential
by: Zhdanov, R.Z., et al.
Published: (1994)
by: Zhdanov, R.Z., et al.
Published: (1994)
Recursions of Symmetry Orbits and Reduction without Reduction
by: Malykh, A.A., et al.
Published: (2011)
by: Malykh, A.A., et al.
Published: (2011)
Lie – Bäcklund symmetry, reduction and solutions of nonlinear evolution equations
by: V. Zheshut, et al.
Published: (2022)
by: V. Zheshut, et al.
Published: (2022)
Lie-Backlund symmetry reduction of nonlinear and non-evolution equations
by: Tsyfra, I., et al.
Published: (2019)
by: Tsyfra, I., et al.
Published: (2019)
Novikov-Veselov Symmetries of the Two-Dimensional () Sigma Model
by: Krichever, Igor, et al.
Published: (2022)
by: Krichever, Igor, et al.
Published: (2022)
Reduction of the two-dimensional thermoelasticity problems for solids with corner points to key integrodifferential equations
by: R. M. Kushnir, et al.
Published: (2021)
by: R. M. Kushnir, et al.
Published: (2021)
Reduction of three-dimensional theory of thick plates bending to solving two two-dimensional problems
by: V. P. Revenko
Published: (2015)
by: V. P. Revenko
Published: (2015)
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
by: Ormerod, C.M.
Published: (2014)
by: Ormerod, C.M.
Published: (2014)
On symmetry reduction of the Euler-Lagrange-Born-Infeld equation to linear ODEs
by: Fedorchuk, V. M., et al.
Published: (2019)
by: Fedorchuk, V. M., et al.
Published: (2019)
New Q-conditional symmetries and solutions for reaction-diffusion-convection equations with power diffusivities.
by: Cherniha, R., et al.
Published: (2006)
by: Cherniha, R., et al.
Published: (2006)
Similar Items
-
On Derivation of Fokker—Planck Equation
by: L. V. Tanatarov
Published: (2013) -
Non-Markovian Fokker-Planck equations and turbulent diffusion in plasmas
by: Zagorodny, A., et al.
Published: (1998) -
Approximate solution for Fokker-Planck equation
by: Drigo Filho, E., et al.
Published: (2015) -
On properties of solutions for Fokker-Planck-Kolmogorov equations
by: I. P. Medynsky
Published: (2020) -
Nonlinear Fokker-Planck Equation in the Model of Asset Returns
by: Shapovalov, A., et al.
Published: (2008)