Results 51 to 60 of about 2,477 (140)
Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
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Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
core
Reaction-diffusion problems under non-local boundary conditions with blow-up solutions
, 2014 This paper deals with blow-up solutions to a class of reaction-diffusion equations under non-local boundary conditions. We prove that under certain conditions on the data the blow-up will occur at some finite time and when the blow-up does occur, lower ...
M. Marras, S. Vernier Piro
semanticscholar +1 more source
Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
wiley +1 more source
Parabolic inequalities in Orlicz spaces with data in L1
Open Mathematics, 2021 In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
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Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients [PDF]
, 2011 2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients.
Marras, M.
core
A waiting time phenomenon for thin film equations [PDF]
, 2001 We prove the occurrence of a waiting time phenomenon for solutions to fourth order degenerate parabolic differential equations which model the evolution of thin films of viscous fluids.
G. GRUEN +2 more
core
Existence of global solution for a differential system with initial data in Lp
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 823-834, 1999., 1999 In this paper, we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. By establishing a new priori estimates and following Calderón′s procedure for the Navier Stokes equations [1], we obtained, for initial data in space Lp, the global in time existence and uniqueness
Peter Bates, Fengxin Chen, Ping Wang
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Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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Nonconvex evolution inclusions generated by time‐dependent subdifferential operators
International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 233-252, 1999., 1998 We consider nonlinear nonconvex evolution inclusions driven by time‐varying subdifferentials ∂ϕ(t, x) without assuming that ϕ(t.) is of compact type. We show the existence of extremal solutions and then we prove a strong relaxation theorem. Moreover, we show that under a Lipschitz condition on the orientor field, the solution set of the nonconvex ...
Kate Arseni-Benou +2 more
wiley +1 more source