Existence of global solutions to a model of chondrogenesis
β Scribed by B. Kazmierczak
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 187 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1034
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β¦ Synopsis
Abstract
The paper considers conditions sufficient for the existence of classical C solutions to a new model of chondrogenesis during the vertebrate limb formation. We assume that the diffusion coefficient of the fibronectin is positive and that the function describing the interaction between the fibronectin and cells satisfies some additional properties. Copyright Β© 2008 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
In this paper, we are concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. For a bounded domain in R 3 , under the assumption that initial density belongs to L c (X), c > 3 2 , we show the global existence of weak solutions
## Abstract The initial and initialβboundary value problems for the twoβphase model of βfluidβsolid particlesβ media are considered. Existence, uniqueness and exponential decay of global strong solutions for small initial data are proved. Copyright Β© 2004 John Wiley & Sons, Ltd.
## Communicated by B. BrosowskΔ±Γ n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR
## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with Ο(__x__)β©Ύ0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__β©½1, while