Results 151 to 160 of about 12,475 (200)

Modelling cochlear mechanics. [PDF]

Biomed Res Int, 2014
Ni G, Elliott SJ, Ayat M, Teal PD.
europepmc   +1 more source

The propagation of the nerve impulse. [PDF]

Biophys J, 1987
Jurisic N.
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Numerical Hydrodynamics and Magnetohydrodynamics in General Relativity. [PDF]

Living Rev Relativ, 2008
Font JA.
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Dynamic compensation mechanism gives rise to period and duty-cycle level sets in oscillatory neuronal models.

J Neurophysiol, 2016
Rotstein HG, Olarinre M, Golowasch J.
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A quasilinear degenerate parabolic equation

A quasilinear degenerate parabolic equation
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Central manifolds of quasilinear parabolic equations

Ukrainian Mathematical Journal, 1998
This paper deals with a nonlinear parabolic problem of the following form \[ \frac{\partial u}{\partial t}- \sum_{|\alpha |= 2m} a_{\alpha}(x,u,\dots, D^{\beta}u) D^{\alpha } u= f (x, u,\dots, D^{\beta}u), \quad |\beta |\leq 2m-1, \tag{1} \] where \( \alpha =(\alpha_{1},\dots, \alpha_{n}) \) is a multi-index and \( D^{\alpha } = \partial^{|\alpha |} / \
Belan, E. P., Lykova, O. B.
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Some quasilinear parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
The author is concerned with finding \(u\in L^ q(0,T,W_ 0^{1,q}(\Omega))\) satisfying an equation of the form \(A(t)u+F(u,Du)=S\) with \(S\) and \(u(0)\) given and \(A(t)\) a quasilinear parabolic operator. The author remarks that in two cases results concerning existence have already been obtained, specifically when \(S\in L^{p'}(0,T,W^{- 1,p'}(\Omega)
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Existence results for some quasilinear parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1989
A quasilinear parabolic equation is considered. Minimal regularity of the data and a natural growth condition are assumed. It is shown that if there exist a subsolution \(\phi\) and a supersolution \(\psi\) such that \(\phi\leq \psi\), then there exists at least one weak solution u such that \(\phi\leq u\leq \psi\).
BOCCARDO, Lucio, François Murat, Jean Pierre Puel   +2 more
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Removable Singularities and Quasilinear Parabolic Equations

Proceedings of the London Mathematical Society, 1984
On etablit un theoreme sur les singularites eliminables pour des equations parabiliques ...
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QUASILINEAR PARABOLIC FUNCTIONAL EVOLUTION EQUATIONS

Recent Advances on Elliptic and Parabolic Issues, 2006
Based on our recent work on quasilinear parabolic evolution equations and maximal regularity we prove a general result for quasilinear evolution equations with memory. It is then applied to the study of quasilinear parabolic differential equations in weak settings. We prove that they generate Lipschitz semiflows on natural history spaces.
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