Charles Stuart

D'origine britannique, Charles Alexander Stuart est né à Newmachar (Ecosse) le 5 juin 1945. Il étudie les mathématiques à l'Université d'Aberdeen, où il obtient une licence (B.Sc.) en 1967, et à Oxford, où il a fait son doctorat (D.Phil) en 1970.

De 1970 à 1974, il est lecteur au Département de mathématiques de l'Université du Sussex. Un congé lui permet de passer deux ans (1973-1975) à Genève, comme chercheur à l'Institut Battelle. Pendant l'année académique 1975-1976, il est lecteur à l'Université d'Aberdeen. Il est nommé professeur extraordinaire à l'EPFL en 1975 et professeur ordinaire en 1982.

Il donne des cours d'analyse à plusieurs sections d'ingénieurs (1er cycle). Pour les 2e et 3e cycles, il traite les équations différentielles et l'analyse fonctionnelle. Ses recherches portent sur les mêmes branches; elles concernent surtout des problèmes de bifurcation qui se présentent dans la modélisation de phénomènes physiques.

Il a passé un premier congé sabbatique (1982-1983) à l'Université de Heriot-Watt et un deuxième (1989-1990) à l'Université Cornell, aux Etats-Unis

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Related research domains (24)

Related publications (142)

Global bifurcation at isolated singular points of the Hadamard derivative

Charles Stuart

Consider F is an element of C(RxX,Y) such that F(lambda, 0) = 0 for all lambda is an element of R, where X and Y are Banach spaces. Bifurcation from the line Rx{0} of trivial solutions is investigated

2021

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

Charles Stuart

In an open, bounded subset Omega of R-N such that 0 is an element of Omega we consider the nonlinear eigenvalue problem -Sigma(N)(i,j,=1) partial derivative(i){A(ij)(x)partial derivative(j)u} + V(x)u

2020

This paper deals with a singular, nonlinear Sturm-Liouville problem of the form {A(x)u'(x)}'+ lambda u (x) = f (x, u(x), u'(x)) on (0,1) where A is positive on (0,1] but decays quadratically to zero a

UNIV SZEGED, BOLYAI INSTITUTE2020

Schrödinger equation

The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. The equation is named after Erwin Schrödinger, who postulated the equation in 1925 and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933. Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics.

Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x2 − 3x + 2 = 0. However, it is usually impossible to write down explicit formulas for solutions of partial differential equations.

Derivative

In mathematics, the derivative shows the sensitivity of change of a function's output with respect to the input. Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.