New results on the Burgers and the linear heat equations in unbounded domains.

J.I. Díaz; S. González

Displaying similar documents to “New results on the Burgers and the linear heat equations in unbounded domains.”

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Mathematical Physics Electronic Journal [electronic only]

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Radiative Heating of a Glass Plate

Luc Paquet, Raouf El Cheikh, Dominique Lochegnies, Norbert Siedow (2012)

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This paper aims to prove existence and uniqueness of a solution to the coupling of a nonlinear heat equation with nonlinear boundary conditions with the exact radiative transfer equation, assuming the absorption coefficient $κ (λ)$ to be piecewise constant and null for small values of the wavelength $λ$ as in the paper of N. Siedow, T. Grosan, D. Lochegnies, E. Romero, “Application of a New Method for Radiative Heat Tranfer to Flat Glass Tempering”, (8):2181-2187 (2005). An important...

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...

Positive solutions of nonlinear elliptic systems

Robert Dalmasso (1993)

Annales Polonici Mathematici

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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^{\infty}$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

Qualitative study of nonlinear parabolic equations: an introduction.

J. I. Díaz (2001)

Extracta Mathematicae

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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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An abstract semilinear first order differential equation in the hyperbolic case.

Radoń, Małgorzata (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Aggregation on a nonlinear parabolic functional differential equation.

Padrón, Víctor (1998)

Divulgaciones Matemáticas

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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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An initial value problem fora third order differential equation

Wojciech Mydlarczyk (1994)

Annales Polonici Mathematici

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For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.