Results 41 to 50 of about 87 (86)

Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

Advances in Nonlinear Analysis, 2017
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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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
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Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
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Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation

Advances in Nonlinear Analysis
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
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Local gradient estimation for nonlinear degenerate parabolic variational inequalities derived from the value analysis of financial derivatives

Open Mathematics
This study examines the spatial gradient estimation of solutions to a particular class of variational inequality problems that arise from the structure of nonlinear degenerate parabolic operators. Specifically, under the assumption that 2≤p≤2(1+2n) $2\le
Wu Tao
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The fully parabolic multi-species chemotaxis system in $\mathbb{R}^{2}$

European Journal of Applied Mathematics
This article is devoted to the analysis of the parabolic–parabolic chemotaxis system with multi-components over $\mathbb{R}^2$ . The optimal small initial condition on the global existence of solutions for multi-species chemotaxis model in the ...
Ke Lin
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Equations d'évolution non locales et problèmes de transition de phase

, 2013
The aim of this thesis is to study the large time behavior of solutions of nonlocal evolution equations and to also study the singular limit of equations and systems of parabolic partial differential equations involving a small parameter epsilon.
Nguyen, Thanh Nam
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Многомерни операционни смятания за нелокални гранични задачи за еволюционни уравнения

, 2011
[Dimovski Ivan H.; Димовски Иван Х.]; [Tsankov Yulian Ts.; Цанков Юлиан Ц.]Here we propose a direct operational calculus approach to nonlocal boundary value problems for a large class of linear evolution equations with several space variables and one ...
Dimovski, Ivan H., Tsankov, Yulian Ts.
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Transfer Function Models for Multidimensional Systems with Bounded Spatial Domains (revised version)

, 1998
Multidimensional (MD) systems describe relations between signals depending on two or more independent variables. They are also called distributed parameter systems, if the independent variables are time and space.
R. Rabenstein
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An Exact Multiplicity Result For A Class Of Semilinear Equations

, 1997
For a class of Dirichlet problems in two dimensions, generalizing the model case \Deltau + u(u \Gamma b)(c \Gamma u) = 0 in jxj ! R; u = 0 on jxj = R; Supported in part by the National Science Foundation. we show existence of a critical 0 ?
Philip Korman, Tiancheng Ouyang, Yi Li
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