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Displaying 241 – 260 of 401

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 mixed problem for quasilinear partial functional differential equations with unbounded delay

Tomasz Człapiński (1999)

Annales Polonici Mathematici

We consider the mixed problem for the quasilinear partial functional differential equation with unbounded delay $D_{t} z (t, x) = \sum_{i = 1}^{n} f_{i} (t, x, z_{(t, x)}) D_{x_{i}} z (t, x) + h (t, x, z_{(t, x)})$ , where $z_{(t, x)} \in X ̶_{0}$ is defined by $z_{(t, x)} (τ, s) = z (t + τ, x + s)$ , $(τ, s) \in (- \infty, 0] \times [0, r]$ , and the phase space $X ̶_{0}$ satisfies suitable axioms. Using the method of bicharacteristics and the fixed-point method we prove a theorem on the local existence and uniqueness of Carathéodory solutions of the mixed problem.

On the numerical approximation of first-order Hamilton-Jacobi equations

Rémi Abgrall, Vincent Perrier (2007)

International Journal of Applied Mathematics and Computer Science

Some methods for the numerical approximation of time-dependent and steady first-order Hamilton-Jacobi equations are reviewed. Most of the discussion focuses on conformal triangular-type meshes, but we show how to extend this to the most general meshes. We review some first-order monotone schemes and also high-order ones specially dedicated to steady problems.

On the positivity of an invariant measure on open non-empty sets

Antoni Leon Dawidowicz (1989)

Annales Polonici Mathematici

On the propagation of singularities of semi-convex functions

L. Ambrosio, P. Cannarsa, H. M. Soner (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the pullback equation $φ^{*} (g) = f$

S. Bandyopadhyay, B. Dacorogna (2009)

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

On the solution of transonic flows with weak shocks

Miloslav Feistauer, Jindřich Nečas (1986)

Commentationes Mathematicae Universitatis Carolinae

On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$

Bernard Dacorogna, Nicola Fusco, Luc Tartar (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We show that the equation div $u = f$ has, in general, no Lipschitz (respectively $W^{1, 1}$ ) solution if $f$ is $C^{0}$ (respectively $L^{1}$ ).

On the uniqueness of initial-value problems for partial differential equations of the first order

P. Besala (1983)

Annales Polonici Mathematici

On the uniqueness of viscosity solutions for first order partial differential-functional equations

Krzysztof Topolski (1994)

Annales Polonici Mathematici

We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.

On two-dimensional hamiltonian transport equations with Llocp coefficients

M Hauray (2003)

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

Ondes de raréfaction pour des systèmes quasilinéaires hyperboliques multidimensionnels

Serge Alinhac (1988)

Journées équations aux dérivées partielles

Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses

Bouchaib Nadir, Alain Piriou (1989)

Journées équations aux dérivées partielles

Operational WKB solution to the initial/final-value problem for Beechem-Haas equations.

Simpao, Valentino Anthony (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Optimal Proliferation Rate in a Cell Division Model

P. Michel (2010)

Mathematical Modelling of Natural Phenomena

We consider a size structured cell population model where a mother cell gives birth to two daughter cells. We know that the asymptotic behavior of the density of cells is given by the solution to an eigenproblem. The eigenvector gives the asymptotic shape and the eigenvalue gives the exponential growth rate and so the Maltusian parameter. The Maltusian parameter depends on the division rule for the mother cell, i.e., symmetric (the two daughter cells have the same size) or asymmetric. We use a...

Currently displaying 241 – 260 of 401

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Displaying 241 – 260 of 401

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

On the mixed problem for quasilinear partial functional differential equations with unbounded delay

On the numerical approximation of first-order Hamilton-Jacobi equations

On the positivity of an invariant measure on open non-empty sets

On the propagation of singularities of semi-convex functions

On the pullback equation $φ^{*} (g) = f$

On the solution of transonic flows with weak shocks

On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$

On the uniqueness of initial-value problems for partial differential equations of the first order

On the uniqueness of viscosity solutions for first order partial differential-functional equations

On two-dimensional hamiltonian transport equations with Llocp coefficients

Ondes de raréfaction pour des systèmes quasilinéaires hyperboliques multidimensionnels

Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses

Operational WKB solution to the initial/final-value problem for Beechem-Haas equations.

Optimal Proliferation Rate in a Cell Division Model

Oscillations fortes sur un champ linéairement dégénéré

Partial differential analogs of ordinary differential equations and systems.

Periodic solutions to linear partial differential equations of the first order

Power and exponential-power series solutions of evolution equations

Prescription de la forme volume

Currently displaying 241 – 260 of 401