Philippe Choquard

The One-Dimensional Schrödinger–Newton Equations

We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger–Newton equations.

Variational principles for thermostatted systems.

A generalized Lagrangian formalism is proposed for dealing with interacting many body systems subject to time reversible friction forces. The corresponding generalized Hamiltonian and Poissonian formalisms are presented. Explicit connection is made between the new Poisson brackets obtained and the 2-forms of conformally symplectic systems recently investigated. Applications to Nose-Hoover and isokinetic dynamics are treated in detail. (c) 1998 American Institute of Physics.

The Homogeneous Hamilton–Jacobi and Bernoulli Equations Revisited

AbstractThe one-dimensional case of the homogeneous Hamilton–Jacobi and Bernoulli equations St

The inviscid, compressible and rotational, 2D isotropic Burgers and pressureless Euler-Coriolis fluids: Solvable models with illustrations

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Stationary solutions of the Schrödinger-Newton model---an ODE approach

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On the “Mean Field” Interpretation of Burgers' Equation

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A One-Dimensional Inviscid and Compressible Fluid in a Harmonic Potential Well

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On a class of implicit solutions of the continuity and Euler’s equations for 1D systems with long range interactions

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