Results 21 to 30 of about 90 (57)

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

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

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

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

Mathematical analysis of some new adequate broad-ranging soliton solutions of nonlinear models through the recent technique

Partial Differential Equations in Applied Mathematics
The Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman, M. Al-Amin, Mst. Kamrunnaher, M. Abul Kawser, Rajaul Haque, M. Ali Akbar, M. Nurul Islam   +6 more
doaj   +1 more source

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

On inverse source term for heat equation with memory term

Demonstratio Mathematica
In this article, we first study the inverse source problem for parabolic with memory term. We show that our problem is ill-posed in the sense of Hadamard. Then, we construct the convergence result when the parameter tends to zero. We also investigate the
Duc Nam Bui, Hai Nguyen Minh, Hoan Luu Vu Cam, Long Le Dinh   +3 more
doaj   +1 more source