Mappings of finite distortion: composition operator.
Hencl, Stanislav, Koskela, Pekka (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem”
Mappings of finite distortion: composition operator.
On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes
Bui Ton, Grzegorz Łukaszewicz (1992)
Banach Center Publications
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The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].
Regularity of weak solutions of degenerate elliptic equations.
Cavalheiro, A.C. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Some properties of solutions for the generalized thin film equation in one space dimension.
Liu, Changchun (2005)
Boletín de la Asociación Matemática Venezolana
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-estimate for solutions of nonlinear parabolic systems
Wojciech Zajączkowski (1996)
Banach Center Publications
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
A remark on Morrey type regularity for nonlinear elliptic systems of second order
Daněček, Josef, Viszus, Eugen
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Higher integrability for weak solutions of higher order degenerate parabolic systems.
Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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A two-dimensional variational model for the equilibrium configuration of an incompressible, elastic body with a three-well elastic potential.
Fuchs, Martin, Seregin, Gregory (2000)
Journal of Convex Analysis
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