摘要:

AbstractIt is shown that the moving model, which is a variant of the Preisach model for hysteresis, possesses the wiping out property and is continuous inC[0,T] under natural assumptions.

ISSN:0170-4214    

DOI:10.1002/mma.1670150302

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe Radon transformR(p, θ), θ∈Sn−1,p∈ℝ1, of a compactly supported functionf(x) with support in a ballBaof radius a centred at the origin is given for all\documentclass{article}\pagestyle{empty}\begin{document}$ \theta \in \mathop {S^{n - 1} }\limits^\tilde $\end{document}, where\documentclass{article}\pagestyle{empty}\begin{document}$ \mathop {S^{n - 1} }\limits^\tilde $\end{document}is an open set onSn−1, and allp∈(− ∞, ∞),n≥2. An approximate formula is given to calculatef(x

ISSN:0170-4214    

DOI:10.1002/mma.1670150303

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractA linear integrodifferential equation describing the heat flow in a material with memory is considered. This equation contains a pair of time‐dependent convolution kernels that are unknown. Such kernels are recovered by using an overdetermined set of data. A local existence theorem for small times and the continuous dependence of the solutions on the data are show

ISSN:0170-4214    

DOI:10.1002/mma.1670150304

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractIn this paper a non‐linear system of equationsin a one‐dimensional domain is considered, where both the viscosity,v, andRare positive. The existence of solutions in the case of Neumann boundary conditions for θ and a polynomial form ofp(θ, ϵ) is proved. When θ satisfies the Dirichlet boundary condition, the existence of solutions is obtained under additional assumptions limiting the growth ofp(θ, ϵ) with respect to θ. In both cases the uniqueness of the solutions is also e

ISSN:0170-4214    

DOI:10.1002/mma.1670150305

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractIn this paper we consider a phase transition in binary systems describing the solidification of a dilute alloy in one space dimension, in which the equations of heat and mass transfer are coupled through the conditions at the free boundary. A kinetic condition is introduced to suggest a regularization of the model, which admits a unique solution, and to obtain the generalized solution of the dilute‐alloy problem under an additional assumptio

ISSN:0170-4214    

DOI:10.1002/mma.1670150306

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0170-4214    

DOI:10.1002/mma.1670150301

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY