Results 91 to 100 of about 200 (160)

T.: A quasi-linear system of chemotaxis

open access: yes, 2006
We consider the blow up mechanism for a perturbed system of chemotaxis. First, using Moser's iteration scheme the blow up point of the solution is characterized in terms of the local Zygmund norm.
Masaki Kurokiba, Takashi Suzuki
core  

Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II : mixed-hybrid finite element solution [PDF]

open access: yes, 2006
: The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory [J.M. Huyghe and J.D. Janssen, Int. J. Engng. Sci. 35 (1997) 793-802; K. Malakpoor, E.F. Kaasschieter and J.M. Huyghe, Mathematical modelling and numerical
Kaasschieter, Enrique F.   +9 more
core   +1 more source

Higher integrability for doubly nonlinear parabolic systems. [PDF]

open access: yesSN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions

open access: yes, 2015
In this paper we study the one dimensional mixed problem with non- local boundary conditions, for the quasilinear parabolic equation. We prove an existence, uniqueness of the weak generalized solution and also continuous depen- dence upon the data of the
KANCA, Fatma, BAGLAN, Irem
core  

An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab

open access: yes, 2011
Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 ...
Domingo Tarzia   +5 more
core   +1 more source

Invariant Regions and Global Existence of Uniqueness Weak Solutions for Tridiagonal Reaction-Diffusion Systems

open access: yes
In this paper we study the existence of uniqueness global weak solutions for m × m reaction-diffusion systems for which two main properties hold: the positivity of the weak solutions and the total mass of the components are preserved with time. Moreover,
BARROUK, Nabila   +2 more
core   +1 more source

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

open access: yesOpen Mathematics, 2017
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj   +1 more source

The stability of evolutionary p ( x )-Laplacian equation

open access: yes, 2017
The paper studies the equation u t = div (
Zhan, Huashui
core  

Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in finance theory

open access: yes, 2004
Summary. We study the numerical approximation of viscosity solutions for integro-differential, possibly degenerate, parabolic problems. Similar models arise in option pricing, to generalize the celebrated Black–Scholes equation, when the processes which ...
Maya Briani   +2 more
core  

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