Continuity with respect to data and parameters of weak solutions to a Stefan-like problem.

Muntean, A.

Displaying similar documents to “Continuity with respect to data and parameters of weak solutions to a Stefan-like problem.”

Degenerate diffusive SEIR model with logistic population control.

Aliziane, T., Langlais, M. (2006)

Acta Mathematica Universitatis Comenianae. New Series

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On uniqueness for a system of heat equations coupled in the boundary conditions.

Kordoš, M. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease

M. Kirane (1993)

Applicationes Mathematicae

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This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.

On two-point boundary value problems for two-dimensional differential systems with singularities.

Mukhigulashvili, S. (2003)

Georgian Mathematical Journal

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$L_{\infty}$ -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 $L_{\infty}$ -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, $L_{\infty}$ -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The $L_{\infty}$ -estimates are obtained by the Di Benedetto methods.

On two-point boundary value problems for systems of higher-order ordinary differential equations with singularities.

Kiguradze, I., Tskhovrebadze, G. (1994)

Georgian Mathematical Journal

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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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Aggregation on a nonlinear parabolic functional differential equation.

Padrón, Víctor (1998)

Divulgaciones Matemáticas

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Existence of strong solutions for nonisothermal Korteweg system

Boris Haspot (2009)

Annales mathématiques Blaise Pascal

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This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [9, 16], which can be used as a phase transition model. We distinguish two cases, when the physical coefficients depend only on the density, and the general case. In the first case we can work in critical...

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].

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].