On a seawater intrusion problem.
Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Armen Edigarian (2015)
Annales Polonici Mathematici
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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.
Irena Pawłow, Wojciech M. Zajączkowski (2008)
Banach Center Publications
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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.
Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)
Revista Matemática Iberoamericana
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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 ≤ +∞.
Klaus Bichteler (1973)
Manuscripta mathematica
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Adam Kubica (2005)
Applicationes Mathematicae
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We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
D. L. Grant, I. L. Reilly (1990)
Matematički Vesnik
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Rodolfo Salvi (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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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.
Karel Rektorys, Marie Ludvíková (1980)
Aplikace matematiky
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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...
Ireneusz Kubiaczyk (1984)
Annales Polonici Mathematici
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