Results 161 to 170 of about 1,264,456 (207)
Continuum and Discrete Initial-Boundary Value Problems and Einstein's Field Equations. [PDF]
Living Rev Relativ, 2012 Sarbach O, Tiglio M.
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Numerical Method of Characteristics for One-Dimensional Blood Flow. [PDF]
J Comput Phys, 2015 Acosta S +4 more
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Everything you wanted to ask about EEG but were afraid to get the right answer. [PDF]
Nonlinear Biomed Phys, 2009 Klonowski W.
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Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator.
Comput Math Appl, 2014 Abert C +5 more
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A quasilinear degenerate parabolic equation
A quasilinear degenerate parabolic equationopenaire +1 more source
Uniform Bounds for Solutions to Quasilinear Parabolic Equations
Journal of Differential Equations, 2001 The authors consider a class of quasilinear parabolic equations on a domain \(D \subset \mathbb{R}^d\) of finite Lebesgue measure in the form \[ u_t(t,x) = \text{div\,} a(t,x,u(t,x), \nabla u(t,x)); \quad t \in (0,\infty),\;x \in D. \] where \(a : (0,\infty)\times D \times \mathbb{R} \times \mathbb{R}^d \to \mathbb{R}^d\) is a Carathéodory function ...
Gabriele Grillo, Fabio Cipriani
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Critical Exponents of Quasilinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 2002 The critical exponent for the global existence of positive solutions of the equation \[ u_t = \text{div}(|\nabla u|^{m-1}\nabla u)+t^s|x|^\sigma u^p \] in \(\mathbb R^n\) is found for \(s\geq 0\), \((n-1)/(n+1)n(1-m)-1-m-2s.\)
Qi, YW, Wang, MX
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Abstract Quasilinear Parabolic Equations
Mathematische Annalen, 1984 The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
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Central manifolds of quasilinear parabolic equations
Ukrainian Mathematical Journal, 1998This 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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On the Blow-up for Quasilinear Parabolic Equations
Journal of Partial Differential Equations, 1993This article is concerned with the position of blow-up points, blow up rate and an isoperimetric problem for the equation u_t = Δu^m + u^p(p > m ≥ 1) in a convex bounded domain.
Wang, Liwen, Chen, Qingyi
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