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The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

Piotr Biler (1995)

Studia Mathematica

The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.

The mean-field limit for the dynamics of large particle systems

François Golse (2003)

Journées équations aux dérivées partielles

This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.

The structural influence of the forces of the stability of dynamical systems.

Lupu, Mircea, Florea, Olivia, Lupu, Ciprian (2009)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Displaying 1 – 3 of 3

The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

The mean-field limit for the dynamics of large particle systems

The structural influence of the forces of the stability of dynamical systems.

Currently displaying 1 – 3 of 3