Results 281 to 290 of about 1,355,996 (330)

A System of Degenerate Parabolic Equations

SIAM Journal on Mathematical Analysis, 1990
The system of two nonlinear equations which arises in plasma physics is considered. The equations are of degenerate parabolic type. The global existence theorem for the Cauchy problem is proved. The proof is based on the Lagrangian transformation, thus using a particular structure of the system.
BERTSCH, MICHIEL, Kamin, S.
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A new high‐order weighted essentially non‐oscillatory scheme for non‐linear degenerate parabolic equations

Numerical Methods for Partial Differential Equations, 2020
In this research, a new high‐order WENO method for solving 1D, 2D and 3D non‐linear degenerate parabolic equations which may contain discontinuous solutions has been designed. The new scheme is constructed by three polynomials of varying degrees.
Rooholah Abedian
semanticscholar   +1 more source

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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Random attractors for stochastic semilinear degenerate parabolic equations with delay

, 2020
In this paper, we consider a stochastic semilinear degenerate parabolic equation with delay in a bounded domain in R N and the nonlinearity satisfying an arbitrary polynomial growth condition.
Shang-Zhi Li, Shangjiang Guo
semanticscholar   +1 more source

High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations

Journal of Computational Physics
In this paper, we focus on the finite difference approximation of nonlinear degenerate parabolic equations, a special class of parabolic equations where the viscous term vanishes in certain regions.
Ziyao Xu, Yong-Tao Zhang
semanticscholar   +1 more source

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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Carleman Estimates of Some Stochastic Degenerate Parabolic Equations and Application

SIAM Journal of Control and Optimization, 2019
This paper is devoted to establishing global Carleman estimates for some forward and backward stochastic degenerate parabolic equations.
Xu Liu, Yongyi Yu
semanticscholar   +1 more source

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
openaire   +3 more sources