Displaying similar documents to “Flutter panel equation in non cylindrical domain.”

Peak points for domains in ℂⁿ

Armen Edigarian (2015)

Annales Polonici Mathematici


We give a necessary and sufficient condition for the existence of a weak peak function by using Jensen type measures. We also show the existence of a weak peak function for a class of Reinhardt domains.

Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids

Irena Pawłow, Wojciech M. Zajączkowski (2008)

Banach Center Publications


In this paper we study the Cahn-Hilliard-Gurtin system describing the phase-separation process in elastic solids. The system has been derived by Gurtin (1996) as an extension of the classical Cahn-Hilliard equation. For a version with viscosity we prove the existence and uniqueness of a weak solution on an infinite time interval and derive an absorbing set estimate.

Non-negative solutions to fast diffusions.

Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)

Revista Matemática Iberoamericana


The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u),   x ∈ Rn, 0 < t < T ≤ +∞.

The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity

Rodolfo Salvi (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni


We prove the existence of a weak solution and of a strong solution (locally in time) of the equations which govern the motion of viscous incompressible non-homogeneous fluids. Then we discuss the decay problem.

A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method

Karel Rektorys, Marie Ludvíková (1980)

Aplikace matematiky


When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions...