Results 81 to 90 of about 105 (103)
Advances in Nonlinear AnalysisThis 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
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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
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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
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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.
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Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]
J Math Biol, 2020 Eckardt M +3 more
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European Journal of Applied MathematicsThis 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
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Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction
Advanced Nonlinear StudiesWe 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
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Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]
J Inequal Appl, 2018 Ma B, Dong Y.
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The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables.
SANTO, Daniele +3 more
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Charge Transport Systems with Fermi-Dirac Statistics for Memristors. [PDF]
J Nonlinear SciHerda M, Jüngel A, Portisch S.
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