Results 41 to 50 of about 118,579 (376)
An improved homogenization result for immiscible compressible two-phase flow in porous media
Networks and Heterogeneous Media, 2017 The paper deals with a degenerate model of immiscible compressible two-phase flow in heterogeneous porous media. We consider liquid and gas phases (water and hydrogen) flow in a porous reservoir, modeling the hydrogen migration through engineered and ...
Brahim Amaziane +2 more
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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PERIODIC SOLUTION FOR A CLASS OF DOUBLY DEGENERATE PARABOLIC EQUATION WITH NEUMANN PROBLEM [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2015 In this article, we study the periodic solution for a class of doubly degenerate parabolic equation with nonlocal terms and Neumann boundary conditions. By using the theory of Leray-Schauder degree, we obtain the existence of nontrivial nonnegative time ...
Raad Awad Hameed, Wafaa M. Taha
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Difference schemes for degenerate parabolic equations [PDF]
Mathematics of Computation, 1986 Diagonal dominant implicit-difference schemes approximating a porous media type class of multidimensional nonlinear equations are shown to generate semigroups in an approximate L 1 {L^1} -space, and the rate of convergence to the semigroup solution in L 1
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On the Cauchy problem for a degenerate parabolic differential equation
International Journal of Mathematics and Mathematical Sciences, 1998 The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
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Impulsive Quenching for Degenerate Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 An impulsive problem for a singular degenerate parabolic equation is studied. Sufficient conditions for the existence of a unique critical length are given. The critical length \(a^*\) is the length of the space interval such that the solution with zero initial and boundary data quenches for intervals larger than \(a^*\) but it exists globally for ...
Chan, C.Y., Kong, P.C.
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Karpatsʹkì Matematičnì Publìkacìï, 2014 The paper found the explicit form of the fundamental solution of Cauchy problem for the equation of Kolmogorov type that has a finite number groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
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Expansion of positivity to a class of doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish the expansion of positivity of the nonnegative, local, weak solutions to the class of doubly nonlinear parabolic equations $$\partial_t (u^{q}) -\operatorname{div}{(|D u|^{p-2} D u)}=0, \qquad\ p>1 \ \text{and} \ q>0$$ considering ...
Eurica Henriques
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The boundary degeneracy theory of a strongly degenerate parabolic equation
, 2016 A kind of strongly degenerate parabolic equations, ∂u∂t=∂∂xi(aij(u,x,t)∂u∂xj)+∂bi(u,x,t)∂xi,(x,t)∈Ω×(0,T),$$\frac{\partial u}{\partial t} =\frac{\partial}{\partial x_{i}} \biggl(a^{ij}(u,x,t) \frac{\partial u}{\partial x_{j}} \biggr)+\frac{\partial b_{i}(
Huashui Zhan
semanticscholar +1 more source
The cost of controlling strongly degenerate parabolic equations [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2020 We consider the typical one-dimensional strongly degenerate parabolic operator Pu = ut − (xαux)x with 0 < x < ℓ and α ∈ (0, 2), controlled either by a boundary control acting at x = ℓ, or by a locally distributed control. Our main goal is to study the dependence of the so-called controllability cost needed to drive an initial condition to rest ...
Cannarsa, P. +2 more
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