Results 71 to 80 of about 108 (104)

Generalized quasi-linear fractional Wentzell problems

Advances in Nonlinear Analysis
Given a bounded (ε,δ)\left(\varepsilon ,\delta )-domain Ω⊆RN\Omega \subseteq {{\mathbb{R}}}^{N} (N≥2N\ge 2) whose boundary Γ≔∂Ω\Gamma := \partial \Omega is a dd-set for d∈(N−p,N)d\in \left(N-p,N), we investigate a generalized quasi-linear elliptic ...
Mesino-Espinosa Efren, Vélez-Santiago Alejandro   +1 more
doaj   +1 more source

Uniform L ∞-boundedness for solutions of anisotropic quasilinear systems

Advanced Nonlinear Studies
In this paper we obtain uniformly locally L ∞-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source

Boundedness and stabilization in a three-species chemotaxis-competition system with singular sensitivity

Advances in Nonlinear Analysis
This paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
doaj   +1 more source

Global solutions to the compressible Navier-Stokes equations for a reacting mixture

, 1992
We prove the global existence of weak solutions to the Navier-Stokes equations for compressible, heat-conducting flow in one space dimension with large, discontinuous initial data, and we obtain a-priori estimates for these solutions which are ...
David Hoff, Gui-qiang Chen
core  

Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model. [PDF]

J Elliptic Parabol Equ, 2020
Fellner K, Kniely M.
europepmc   +1 more source

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

J Math Biol, 2020
Eckardt M, Painter KJ, Surulescu C, Zhigun A.   +3 more
europepmc   +1 more source

Modelling and Controllability of Plate-Beam Systems

, 1994
The purpose of this paper is twofold. First, a distributed parameter model for a dynamic elastic system consisting of a thin plate to which a thin beam is rigidly and orthogonally attached to the edge of the plate shall be developed, assuming that the ...
J. E. Lagnese
core  

Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions

European Journal of Applied Mathematics
This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj   +1 more source

Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction

Advanced Nonlinear Studies
We are concerned with the following nonlinear Hartree system−Δu+P1(|x|)u=α1|x|−1∗u2u+β|x|−1∗v2u inR3,−Δv+P2(|x|)v=α2|x|−1∗v2v+β|x|−1∗u2v inR3, $$\begin{cases}-{\Delta}u+{P}_{1}\left(\vert x\vert \right)u={\alpha }_{1}\left(\vert x{\vert }^{-1}\ast {u}^{2}
Gao Fashun, Yang Minbo, Zhao Shunneng
doaj   +1 more source

Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]

J Inequal Appl, 2018
Ma B, Dong Y.
europepmc   +1 more source