Results 41 to 50 of about 357 (100)
Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
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Noncoercive parabolic obstacle problems
Advances in Nonlinear Analysis, 2023 We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term.
Farroni Fernando +3 more
doaj +1 more source
Abstract and Applied Analysis, Volume 7, Issue 9, Page 453-473, 2002., 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time‐dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time‐dependent subdifferentials, in which the solution is not unique for a given initial state.
Noriaki Yamazaki
wiley +1 more source
Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line
Journal of Mathematical Study, 2018 In this paper, we develop a spectral method for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases. A full-discrete generalized Hermite spectral scheme is constructed.
Guo Wang
semanticscholar +1 more source
On the structure of the solution set of evolution inclusions with Fréchet subdifferentials
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 51-72, 2000., 2000 In this paper we consider a Cauchy problem in which is present an evolution inclusion driven by the Fréchet subdifferential o ∂−f of a function f : Ω → R ∪ {+∞} (Ω is an open subset of a real separable Hilbert space) having a φ‐monotone . subdifferential of order two and a perturbation F : I × Ω → Pfc(H) with nonempty, closed and convex values.
Tiziana Cardinali
wiley +1 more source
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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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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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
wiley +1 more source