Results 21 to 30 of about 134 (84)

A mixed nonlinear time-fractional Rayleigh-Stokes equation [PDF]

, 2022
. This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term.
Au, Vo Van, Caraballo Garrido, Tomás
core   +1 more source

An infinite-dimensional approach to path-dependent Kolmogorov equations [PDF]

, 2016
In this paper, a Banach space framework is introduced in order to deal with finite-dimensional path-dependent stochastic differential equations. A version of Kolmogorov backward equation is formulated and solved both in the space of $L^p$ paths and in ...
Flandoli, Franco, Zanco, Giovanni
core   +2 more sources

Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with integrals

International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 65-79, 1990., 1990
In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals.
Ludwik Byszewski
wiley   +1 more source

Large scale dynamics of the Persistent Turning Walker model of fish behavior [PDF]

, 2007
International audienceThis paper considers a new model of individual displacement, based on fish motion, the so-called Persistent Turning Walker (PTW) model, which involves an Ornstein-Uhlenbeck process on the curvature of the particle trajectory.
A. Aw, A. Bensoussan, A. Mogilner, A. Mogilner, A. Pazy, B. Oksendal, B.M. Friedrich, C. Bardos, C. Cercignani, C. Jost, C.M. Topaz, C.M. Topaz, D. Armbruster, D. Helbing, D.R. Brillinger, F. Castella, F. Golse, F. Poupaud, G. Grégoire, G. Theraulaz, H. Brézis, H.G. Othmer, I. Aoki, I.D. Couzin, I.S. Gradshteyn, J.K. Parrish, J.K. Parrish, J.L. Lions, L. Desvillettes, L. Gross, M. Aldana, N. Ben Abdallah, P. Degond, P. Degond, P. Degond, P. Degond, P. Degond, P. Degond, P. Degond, P. Degond, Pierre Degond, R. Bass, R. Jeanson, S. Camazine, Sébastien Motsch, T. Vicsek, V.I. Ratushnaya, V.I. Ratushnaya, V.L. Kulinskii   +48 more
core   +3 more sources

The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels [PDF]

, 2009
Abels H, Kaßmann M. The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka journal of mathematics.
Abels, Helmut, Kassmann, Moritz
core   +2 more sources

On Recent Progress for the Stochastic Navier Stokes Equations [PDF]

, 2003
We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations.
Mattingly, Jonathan C.
core   +3 more sources

Infinite-dimensional parabolic equations in Gauss-Sobolev spaces [PDF]

, 2007
The paper is concerned with a class of parabolic equations with a gradient-dependent nonlinear term in a Gauss-Sobolev space setting. Un-der a local Lipschitz continuity condition, it is shown in Theorem 4.2 that there exists a unique strong solution of ...
Chow, Pao-Liu
core   +2 more sources

Liouville type theorem associated with the wave equation [PDF]

, 2011
application/pdf論文(Article)journal ...
SHIMOMURA, Katsunori
core   +1 more source

Computational analysis and wave propagation behavior of hyper-geometric soliton waves in plasma physics via the auxiliary equation method

Partial Differential Equations in Applied Mathematics
This study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj   +1 more source

Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

Advances in Nonlinear Analysis
We consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source