Results 251 to 260 of about 1,356,954 (292)

A numerical approach to degenerate parabolic equations

Numerische Mathematik, 2002
A class of degenerate parabolic equations typically describing the gas flow through porous media is considered. The numerical difficulties in treating such problems arise from the nonlinear degeneracy of the equations. Such problems can be investigated through a parabolic regularization which can be constructed in different ways.
Iuliu Sorin Pop, Wen-An Yong
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Dynamics for a stochastic degenerate parabolic equation

Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingquan Chang, Dandan Li, Chunyou Sun
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Nonlinear Degenerate Parabolic Equations

Acta Mathematica Hungarica, 1997
The author proves the existence of weak solutions of the nonlinear degenerate parabolic initial-boundary value problem \[ {{\partial u}\over{\partial t}} - \sum_{i=1}^N D_iA_i(x,t,u,Du) + A_0(x,t,u,Du) = f(x,t)\quad\text{ in }\Omega\times(0,T), \] \[ u(x,0) = u_0(x)\quad \hbox{ in }\Omega, \] in the space \(L^p(0,T,W^{1,p}_0(v,\Omega))\), where ...
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Homogenization of degenerate elliptic‐parabolic equations

Asymptotic Analysis, 2004
In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂ t −div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the ...
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Degenerate integrodifferential equations of parabolic type

2006
Il contributo è un articolo scientifico originale, non pubblicato altrove in nessuna forma, e sottoposto a referee. Il volume contiene solo articoli originali.
FAVINI, ANGELO, A. LORENZI, H. TANABE
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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
We study the uniqueness classes of a generalized solution of the Cauchy problem (1)when the matrix is degenerate. A generalized solution is introduced with the help of an infinitesimal operator of a Markov process connected with the operator in (1).
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Some degenerate nonlinear parabolic equations

九州大学教養部数学雑誌, 1984
The author proves existence, uniqueness and asymptotic behaviour of solutions of the initial value problem for the generalized porous medium equation on a bounded domain in \({\mathbb{R}}^ n\). In various cases, decay notes, positivity and uniqueness are given which extend known results in various directions.
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Hyperbolic Phenomena in a Degenerate Parabolic Equation

Journal of Partial Differential Equations, 1997
The author studies an equation of the form \[ u_t = (\phi (u)\psi (u_x))_x, \quad (x,t)\in\mathbb{R}\times (0,\infty), \] where \(\phi : \mathbb{R}^+\mapsto \mathbb{R}^+\) is smooth, \(\phi\in C[0,+\infty)\), \(\phi(0)=0\), \(\phi'(s)>0\;(s>0)\), \(\lim_{s\to +0}s/\phi (s) =0\), and \(\psi :\mathbb{R}\mapsto \mathbb{R}\) is a strictly increasing smooth
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Quenching for degenerate parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The authors study local and global existence of nonnegative solutions of the equation \(u_t-(p(x)u_x)_x=f(u)\), \(x\in(0,a)\), \(t>0\), complemented by homogeneous Dirichlet boundary conditions and the initial condition \(u(x,0)=u_0(x)\). Here \(p,f,u_0\) satisfy certain regularity properties and \(p(0)=0\), \(p(x)>0\) for \(x>0\), \(\int_0^A dx/p(x)
Ke, L., Ning, S.
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Symmetry for degenerate parabolic equations

Archive for Rational Mechanics and Analysis, 1989
For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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