排序方式: 共有32条查询结果,搜索用时 15 毫秒
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Giovanni Cimatti 《Applied Mathematics and Optimization》1976,3(2-3):227-242
The hydrodynamic lubrication of a complete journal bearing of finite width is studied using the theory of variational inequalities: we deal mainly with existence, uniqueness and regularity of the solution. 相似文献
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Electrostatically deflected elastic systems are increasingly used in technical applications. We study a typical situation as a free boundary problem and prove, under quite general hypotheses, the existence of a local branch of solutions. Hadamard’s variational formula is crucial in the proof, which is based on the implicit function theorem in Banach spaces. 相似文献
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Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor 总被引:1,自引:0,他引:1
Giovanni Cimatti 《Annali di Matematica Pura ed Applicata》1992,162(1):33-42
Summary
An initial-boundary value problem for a system of two nonlinear partial differential equations is studied using the Faedo-Galerkin method. The problem describes the electric heating of a conducting body. The main result is a theorem of existence of weak solutions for an arbitrarily large interval of time. 相似文献
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We consider a coupling between the Nernst-Planck equations and the Navier-Stokes system; we study the stationary and the evolution problems. The crucial property turns out to be the existence of an invariant region. An asymptotic result in the case of Neumann boundary conditions is also given. 相似文献
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Ricerche di Matematica - Assuming as starting point the validity of the Einstein-Rosen metric we study the hyperbolic system of P.D.E. to which the Einstein’s field equations can be reduced.... 相似文献
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Giovanni Cimatti 《Applied Mathematics and Optimization》1976,3(1):15-26
The theory of variational inequalities is applied to some special problems of elastic-plastic deformation. 相似文献
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Giovanni Cimatti 《Applied Mathematics and Optimization》1984,11(1):227-245
Various nonlinear elliptic boundary value problems motivated by the theory of lubrication are stated and studied. We deal mainly with the aspects of existence and uniqueness of solutions. 相似文献
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Summary
The electrical resistance in many substances varies greatly with the temperature which in turns depends on the Joule effect. This nonlinear effect is described under steady conditions by a system of nonlinear elliptic equations with a quadratic growth in the gradient. This work gives a theorem of existence for the related elliptic boundary value problem. 相似文献
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** Email: cimatti{at}dm.unipi.it Using the LevyCaccioppoli global inversion theorem, aresult of existence, uniqueness and continuous dependence isproved for a non-linear problem of heat conduction. 相似文献