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Displaying 1401 – 1420 of 2165

On the Lawrence–Doniach model of superconductivity: magnetic fields parallel to the axes

Stan Alama, Lia Bronsard, Etienne Sandier (2012)

Journal of the European Mathematical Society

We consider periodic minimizers of the Lawrence–Doniach functional, which models highly anisotropic superconductors with layered structure, in the simultaneous limit as the layer thickness tends to zero and the Ginzburg–Landau parameter tends to infinity. In particular, we consider the properties of minimizers when the system is subjected to an external magnetic field applied either tangentially or normally to the superconducting planes. For normally applied fields, our results show that the resulting...

On the Lax-Phillips scattering theory for transport equation

Hassan Emamirad (1984)

Journées équations aux dérivées partielles

On the least principal fundamental solution of a parabolic differential equation

A. Wójcik (1980)

Annales Polonici Mathematici

On the left linear Riemann problem in Clifford analysis.

Bernstein, Swanhild (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

On the limit amplitude principle for a layer.

A.G. Ramm, P. Werner (1985)

Journal für die reine und angewandte Mathematik

On the linear and quasilinear parabolic equations

Ladyzenskaya, O. A. (1967)

Differential Equations and Their Applications

On the linear force-free fields in bounded and unbounded three-dimensional domains

Tahar-Zamène Boulmezaoud, Yvon Maday, Tahar Amari (1999)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On the linear force-free fields in bounded and unbounded three-dimensional domains

Tahar-Zamène Boulmezaoud, Yvon Maday, Tahar Amari (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.

On the linear problem arising from motion of a fluid around a moving rigid body

Šárka Matušů-Nečasová, Jörg Wolf (2015)

Mathematica Bohemica

We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence...

On the linearization of some singular, nonlinear elliptic problems and applications

Jesús Hernández, Francisco J Mancebo, José M Vega (2002)

Annales de l'I.H.P. Analyse non linéaire

On the Liouville property for fully nonlinear equations

Alessandra Cutrì, Fabiana Leoni (2000)

Annales de l'I.H.P. Analyse non linéaire

On the Liouville property for sublaplacians

Italo Capuzzo Dolcetta, Alessandra Cutrì (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the local and global well-posedness theory for the KP-I equation

Carlos E. Kenig (2004)

Annales de l'I.H.P. Analyse non linéaire

On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations.

Vincenzo Vespri (1992)

Manuscripta mathematica

On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients

E. Di Benedetto (1986)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the local Cauchy problem for first order partial differential functional equations

Elżbieta Puźniakowska-Gałuch (2010)

Annales Polonici Mathematici

A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can be obtained...

On the local Cauchy problem for nonlinear hyperbolic functional differential equations

Tomasz Człapiński (1997)

Annales Polonici Mathematici

We consider the local initial value problem for the hyperbolic partial functional differential equation of the first order (1) $D ₓ z (x, y) = f (x, y, z (x, y), (W z) (x, y), D_{y} z (x, y))$ on E, (2) z(x,y) = ϕ(x,y) on [-τ₀,0]×[-b,b], where E is the Haar pyramid and τ₀ ∈ ℝ₊, b = (b₁,...,bₙ) ∈ ℝⁿ₊. Using the method of bicharacteristics and the method of successive approximations for a certain functional integral system we prove, under suitable assumptions, a theorem on the local existence of weak solutions of the problem (1),(2).

On the local integrability and boundedness of solutions to quasilinear parabolic systems.

Giorgi, Tiziana, O'Leary, Mike (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the local strong solutions for a system describing the flow of a viscoelastic fluid

Ondřej Kreml, Milan Pokorný (2009)

Banach Center Publications

We consider a model for the viscoelastic fluid which has recently been studied in [4] and [1]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the above mentioned papers. The main difference in our approach is the use of the $L^{p}$ theory for the Stokes system.

On the local well-posedness of a Benjamin-Ono-Boussinesq system.

Xue, Ruying (2005)

International Journal of Mathematics and Mathematical Sciences

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