Results 11 to 20 of about 90,630 (265)

A Unified Analytical Approach to Fixed and Moving Boundary Problems for the Heat Equation

Mathematics, 2021
Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initial-boundary value problem into an appropriate initial value problem on the real ...
Marianito R. Rodrigo, Ngamta Thamwattana
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Strongly nonlinear parabolic initial-boundary value problems [PDF]

Proceedings of the National Academy of Sciences, 1979
An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2 m with a strongly nonlinear zeroth-order perturbation.
Brézis, Haïm, Browder, Felix E.
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Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current

Журнал Средневолжского математического общества, 2021
Mathematical modeling of heat transfer in the film-substrate-thermostat system with a pulsed flow of high-density current through an electrically conductive film has been carried out.
Kuzmichev Nikolay D., Vasyutin Mikhael A., Danilova Ekaterina V., Lapshina Elena A.   +3 more
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Direct and inverse problems for thermal grooving by surface diffusion with time dependent Mullins coefficient

Mathematical Modelling and Analysis, 2021
We consider the Mullins’ equation of a single surface grooving when the surface diffusion is not considered as very slow. This problem can be formed by a surface grooving of profiles in a finite space region.
Mansur I. Ismailov
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Integrable initial-boundary-value problems

Theoretical and Mathematical Physics, 1991
Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6 ...
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THE INITIAL-BOUNDARY VALUE PROBLEM IN GENERAL RELATIVITY [PDF]

International Journal of Modern Physics D, 2011
In this article we summarize what is known about the initial-boundary value problem for general relativity and discuss present problems related to it.
Reula, Oscar, Sarbach, Olivier
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Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

Advances in Mathematical Physics, 2016
We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u,  t>0,  x>0;  u(x,0)=u0(x),  x>0; u(0,t)+βux(0,t)=h(t),  t>0, where ∂x3/2u=(1/2π)∫0∞sign⁡x-y/x-yuyy(y) dy.
B. Juarez Campos, Elena Kaikina, Hector F. Ruiz Paredes   +2 more
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Semigroups for Initial-Boundary Value Problems

, 2003
We review the theory of one-sided coupled operator matrices with a focus on evolution equations with inhomogeneous boundary conditions. (The original article had no abstract.)
Kramar, Marjeta, Mugnolo, Delio, Nagel, Rainer   +2 more
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A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

Axioms
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain   +2 more
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The initial boundary value problem of a mixed-typed hemivariational inequality

International Journal of Mathematics and Mathematical Sciences, 2001
A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
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