Displaying similar documents to “A stability result in the localization of cavities in a thermic conducting medium”

Global weak solvability to the regularized viscous compressible heat conductive flow

Jiří Neustupa, Antonín Novotný (1991)

Applications of Mathematics

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The concept of regularization to the complete system of Navier-Stokes equations for viscous compressible heat conductive fluid is developed. The existence of weak solutions for the initial boundary value problem for the modified equations is proved. Some energy and etropy estimates independent of the parameter of regularization are derived.

About stability and regularization of ill-posed elliptic Cauchy problems: the case of domains

Laurent Bourgeois (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace's equation in domains with boundary. It is an extension of an earlier result of [Phung, (2003) 621–635] for domains of class . Our estimate is established by using a Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Furthermore, we prove that this stability...

Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations