[PDF] Top 20 A nonlocal parabolic system with application to a thermoelastic problem

... A system modeling the thermoelastic bards contacts is ...The problem is first transformed into an equivalent nonlocal parabolic systems using a transformation, and then the existence and ... See full document

... To our knowledge, there is no work dealing with the parabolic system 1.1 with nonlocal boundary condition 1.2 except for the single equation case, although this is a very classical model. Therefore, ... See full document

... for parabolic problems is the base of comparison principle which is important in monotonic methods used for these ...on nonlocal problems. Earlier works on problems with nonlocal boundary conditions ... See full document

... Inverse problems for parabolic equations with nonlocal boundary conditions are inves- tigated in [, ]. This kind of conditions arise from many important applications in heat transfer, life sciences, etc. ... See full document

... the nonlocal prob- lems with integral conditions. This type of nonlocal boundary value problems has been investigated in [1, 2, 3, 4, 5, 6, 8] for parabolic equations and in [7, 10] for hyperbolic ... See full document

... metric system of physical units was made by Gauss at the beginning of nineteenth ...[1]. Application of parabolic, hyperbolic and logarithmic bonds of transcendental numbers PI and E gives a ... See full document

... Here to obtain the precise blowup rates, we shall devote to establishing some relationship between the two components u and v as our problem involves a system, but we encounter the typical difficulties ... See full document

... The problem of identification of a coefficient in a nonlinear parabolic equation is an interesting problem for many scientists ...for parabolic equations with nonlocal boundary conditions ... See full document

... of problem () for a parabolic equation with nonlocal condition can be ...a system of root vectors of the corresponding generalized spectral problem with various boundary conditions for ... See full document

... a parabolic equation with a discontinuous right hand side 7, 8 . Parabolic problems with discontinuous nonlinearities have been also investigated in the papers 9–13 ...hand, parabolic problems with ... See full document

... into parabolic equations which are coupled with nonlocal boundary conditions in mathematical modeling such as thermoelasticity theory (see ...the problem of nonlocal boundary conditions for ... See full document

... We prove a result on existence and uniqueness of weak solutions for a diffusion prob- lem associated with nonlinear diffusions of nonlocal type studied by Chipot and Lovat (1999) by an application of the ... See full document

... of parabolic type [5, 8, 10, 18, ...tional parabolic equations, we interpret physically the fractional derivative appearing in the equation as the degree of memory in the diffusing material ... See full document

... The existence of positive classical solutions of (.) local in time can be obtained by using the fixed point theorem in [], and the representation formula and the contraction mapping principle as in []. By the above ... See full document

... In recent years all kinds of boundary conditions and over-specified condi- tions arise in the inverse problems which make them more and more difficult to solve. The integral over-specified condition arises from many ... See full document

... This paper deals with discontinuities analysis in the temperature, displacement, and stress fields of a thick plate whose lower and upper surfaces are traction-free and subjected to a given axisymmetric temperature ... See full document

... We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is ... See full document

... Secondly, we should point out that in the case of m = n = , the system (.) becomes a semilinear system. To our knowledge, there do not seem to be any results in the literature on blow-up problems of ... See full document

... Abstract—The discrete accretion is often realized in tech- nological processes such as laser surfacing, gas-dynamic de- position, and vapor phase deposition. Mathematical modeling of the deformations and temperature ... See full document

... Thus the expression for the temperature T(r, z, t) satisfying Eqns.(2.2) – (2.7) is given by (5) and(2.19) – (2.21). The problem formulated in this section has been studied earlier by Pidadi and Khobragade[4]. ... See full document