Results 41 to 50 of about 819 (86)
, 2017 In this article we consider the question of existence in the Holder class of the solution of the initial-boundary problem for a linear parabolic second-degree equation with discontinuous coefficients in noncylindrical domain.
B. Kopytko, Z. Tsapovska
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Abstract and Applied Analysis, Volume 7, Issue 10, Page 517-530, 2002., 2002 We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
Abdelfatah Bouziani
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An adaptive mesh method for time dependent singularly perturbed differential-difference equations
Nonlinear Engineering, 2019 In this paper, a time dependent singularly perturbed differential-difference convection-diffusion equation is solved numerically by using an adaptive grid method. Similar boundary value problems arise in computational neuroscience in determination of the
Pramod Chakravarthy P., Kumar Kamalesh
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A PDAE formulation of parabolic problems with dynamic boundary conditions
, 2018 The weak formulation of parabolic problems with dynamic boundary conditions is rewritten in form of a partial differential-algebraic equation. More precisely, we consider two dynamic equations with a coupling condition on the boundary. This constraint is
Altmann, Robert
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International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 417-426, 2001., 2001 We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
M. Denche, A. L. Marhoune
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, 2006 This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y + f(y) = 0. We consider distributed controls, with
E. Fernández-Cara +3 more
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Global existence of solutions of semilinear heat equation with nonlinear memory condition
, 2019 We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow up in finite time of all nontrivial solutions ...
Gladkov, Alexander, Guedda, Mohammed
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Cooling of a plate with general boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 477-485, 2000., 2000 We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener‐Hopf method has been used to obtain the solution in the infinite series form and some special cases ...
F. D. Zaman, R. Al-Khairy
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Cooling of a layered plate under mixed conditions
International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 197-206, 2000., 2000 We consider the temperature distribution in an infinite plate composed of two dissimilar materials. We suppose that half of the upper surface (y = h, −∞ < x < 0) satisfies the general boundary condition of the Neumann type, while the other half (y = h, 0 < x < ∞) satisfies the general boundary condition of the Dirichlet type. Such a plate is allowed to
F. D. Zaman, R. Al-Khairy
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Open MathematicsThis article is devoted to the global existence and extinction behavior of the weak solution to a fast diffusion pp-Laplace equation with logarithmic nonlinearity and special medium void.
Liu Dengming, Chen Qi
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