Results 61 to 70 of about 2,477 (140)

The Tychonoff uniqueness theorem for the G-heat equation

, 2011
In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat ...
A. N. Tychonoff, D. V. Widder, F. John, F. Lio Da, G. Gripenberg, I. Karatzas, J. Kovats, L. A. Caffarelli, M. G. Crandall, Qian Lin, S. Peng, S. Peng, S. Peng, T. Ströberg   +13 more
core   +1 more source

Finite speed of propagation for a non-local porous medium equation

, 2015
This note is concerned with proving the finite speed of propagation for some non-local porous medium equation by adapting arguments developed by Caffarelli and V\'azquez (2010).Comment: 10 pages. New version after revision.
Imbert, Cyril
core   +2 more sources

Non-Newtonian polytropic filtration systems with nonlinear boundary conditions

Boundary Value Problems, 2011
This article deals with the global existence and the blow-up of non-Newtonian polytropic filtration systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained by ...
Du Wanjuan, Li Zhongping
doaj  

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Demonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

, 2006
We study a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of the mechanics of a continuous medium.
A. Bensoussan, A.V. Fursikov, B.S. Mordukhovich, D. F. M. Torres, G. Gagneux, H. Koch, H.-C. Lee, J.-L. Lions, J.-L. Lions, M. R. Sidi Ammi, M.R. Sidi Ammi, O. Bodart, O.A. Ladyzhenskaya, V.A. Solonnikov   +13 more
core   +1 more source

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

Boundary Value Problems, 2011
This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
doaj  

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

Drift perturbation’s influence on traveling wave speed in KPP-Fisher system

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
doaj   +1 more source

Classical Lie symmetries and reductions of a nonisospectral Lax pair

, 2011
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551).
Ablowitz M. J., Calogero F., Estévez P. G., Estévez P. G., Estévez P. G., Hirota R., Legaré M., Maccari A., Olver P. J., Painlevé P., Weiss J.   +10 more
core   +1 more source

A new contraction family for porous medium and fast diffusion equation [PDF]

, 2014
In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada, Jazar, Mustapha, Monneau, Régis   +2 more
core   +3 more sources