Pierre‐Louis Lions
- Orbital stability of standing waves for some nonlinear Schr�dinger equations
1982/12/01 by T. Cazenave, Thierry Cazenave, P. L. Lions +1 · 63 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- Splitting Algorithms for the Sum of Two Nonlinear Operators
1979/12/01 by P. L. Lions, Pierre‐Louis Lions, B. Mercier +1 · 113 citations
Computer Science · Mathematics · Engineering · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Aerospace Engineering and Control Systems
- Two approximations of solutions of Hamilton-Jacobi equations
1984/01/01 by M. G. Crandall, Michael G. Crandall, P.-L. Lions +1 · 21 citations
Mathematics · Computer Science · Physics and Astronomy · #Numerical methods for differential equations #Optimization and Variational Analysis #Quantum chaos and dynamical systems
- Nonlinear scalar field equations, II existence of infinitely many solutions
1983/12/01 by Henri Berestycki, H. Berestycki, P. -L. Lions +1 · 20 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Cosmology and Gravitation Theories
- Solutions of superlinear elliptic equations and their morse indices
1992/10/01 by Abbas Bahri, A. Bahri, P. L. Lions +1 · 7 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Neumann type boundary conditions for Hamilton-Jacobi equations
1985/09/01 by P.-L. Lions, Pierre‐Louis Lions · 5 citations
Computer Science · Mathematics · Economics, Econometrics and Finance · #Optimization and Variational Analysis #Mathematical Biology Tumor Growth #Stochastic processes and financial applications
- Efficiency of the Price Formation Process in Presence of High Frequency\n Participants: a Mean Field Game analysis
2013/05/27 by Aimé Lachapelle, Lachapelle, Aimé, Jean‐Michel Lasry +5 · 2 citations
Economics, Econometrics and Finance · #Economic theories and models #Complex Systems and Time Series Analysis #Financial Markets and Investment Strategies
- Well posedness for multi-dimensional junction problems with\n Kirchoff-type conditions
2017/04/13 by Pierre‐Louis Lions, Panagiotis E. Souganidis, Lions, Pierre-Louis +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Nonlinear Partial Differential Equations
- On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity
2004/10/15 by Isabelle Gallagher, Gallagher, Isabelle, Thierry Gallay +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories #Navier-Stokes equation solutions #math-ph #math.AP #math.MP #msc:35A07 #msc:35Q30 #msc:76D05 #msc:76D17