Results 41 to 50 of about 95 (89)

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
doaj   +1 more source

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

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.
doaj   +1 more source

K.: Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data

, 2020
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on ∂D, and non-negative initial condition.
Klaus Kirsten@baylor, P Gilkey, A Grigor'yan, K Kirsten, Edu, M Van Den Berg   +5 more
core  

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Multivariate operational calculi for nonlocal boundary value problems for evolution equations

, 2011
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 time variable.
Dimovski, Ivan H., Tsankov, Yulian Ts.
core  

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.
core  

Boundary-Value Problems for PDEs Arising in the Valuation of Structured Financial Products

, 2016
We explicitly solve some mixed initial/boundary value problems for generalized Black-Scholes PDEs with financially relevant boundary conditions. As an illustration, new pricing formulas are obtained for convertible and reverse convertible bonds under ...
Agliardi, Rossella
core