The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Jan Persson (1976)
Publications mathématiques et informatique de Rennes
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Mozgawa, Witold (2009)
Beiträge zur Algebra und Geometrie
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J. Ligęza (1975)
Colloquium Mathematicae
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Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Blaya, Ricardo Abreu, Reyes, Juan Bory, Brackx, Fred, De Knock, Bram, De Schepper, Hennie, Peña, Dixan Peña, Sommen, Frank (2008)
Boundary Value Problems [electronic only]
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Raetz, Juerg (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Kwang-Ok Li, Yong-Ho Kim (2023)
Applications of Mathematics
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This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids. ...
M. Stojanović (1974)
Matematički Vesnik
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Peter Rusev (1985)
Annales Polonici Mathematici
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Blaya, Ricardo Abreu, Reyes, Juan Bory, Peña, Dixan Peña, Sommen, Frank (2008)
Boundary Value Problems [electronic only]
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T. Śliwa (1988)
Applicationes Mathematicae
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Tadeusz Śliwa (1981)
Colloquium Mathematicae
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Hernán R. Henríquez, Genaro Castillo G. (2003)
Annales Polonici Mathematici
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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
Marco Cannone (1997)
Revista Matemática Iberoamericana
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We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L(R)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.