Results 71 to 80 of about 1,087 (167)
On the parabolic potentials in degenerate‐type heat equation [PDF]
International Journal of Stochastic Analysis, 1991 Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
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A Class of Degenerate Totally Nonlinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 The following initial-boundary value problem for a degenerate totally nonlinear parabolic equation is considered: \[ u_t=\beta (\phi (x,u_x)u_{xx} + f(x,u,u_x)),\quad (x,t)\in (0,1)\times (0,\infty ), \] \[ u_x(j,t)\in (-1)^j\beta_{j}(u(j,t)),\;j=0,1, \quad u(x,0)=u_0(x), \] as well as its higher space dimensional analogue.
Lin, Chin-Yuan, Fan, Li-Chang
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Homogenization of immiscible compressible two-phase flow in double porosity media
Electronic Journal of Differential Equations, 2016 A double porosity model of multidimensional immiscible compressible two-phase flow in fractured reservoirs is derived by the mathematical theory of homogenization.
Latifa Ait Mahiout +3 more
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Inverse problem of determining the coefficients in a degenerate parabolic equation
Electronic Journal of Differential Equations, 2014 We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak
Nadiya Huzyk
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Advanced Nonlinear StudiesWe study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
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Degenerate semilinear parabolic equations
Differential and Integral Equations, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Controllability of nonlinear degenerate parabolic cascade systems
Electronic Journal of Differential Equations, 2016 This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and
Mamadou Birba, Oumar Traore
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On an Anisotropic Parabolic Equation on the Domain with a Disjoint Boundary
Journal of Function Spaces, 2018 Consider the anisotropic parabolic equation with the variable exponents vt=∑i=1n(bi(x)vxiqix-2vxi)xi, where bi(x),qi(x)∈C1(Ω¯), qi(x)>1, and bi(x)≥0. If {bi(x)} is not degenerate on Σp⊂∂Ω, a part of the boundary, but is degenerate on the remained part ∂Ω∖
Huashui Zhan
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Large time behavior of solution to a class of doubly nonlinear parabolic equations
Electronic Journal of Differential Equations, 1994 solutions of the doubly degenerate parabolic equation $u_t={ m div} (|u|^{m-1}|abla u|^{p-2}abla u)$ in a cylinder $Omegaimes R^+$, with initial condition $u(x,0)=u_0(x)$ in $Omega$ and vanishing on the parabolic boundary $partialOmegaimes R^+$.
Juan J. Manfredi, V. Vespri
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On some inverse problems for a degenerate parabolic equation with involution
Open MathematicsIn this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the ...
Turmetov Batirkhan, Shalkhar Ainur
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