3 papers
math.NA2026
Spectral Algorithms for 3-Wave Kinetic and Quantum Boltzmann Equations with General Resonance Manifolds in
Thanh Trung Le, Minh-Binh Tran
Following recent developments in numerical schemes for 3-wave kinetic equations [2, 7, 42, 44, 43], we develop spectral algorithms for multidimensional 3-wave kinetic equations and…
math.NA2023
Numerical challenges for the understanding of localised solutions with different symmetries in non-local hyperbolic systems
Thanh Trung Le, Raluca Eftimie
We consider a one-dimensional nonlocal hyperbolic model introduced to describe the formation and movement of self-organizing collectives of animals in homogeneous 1D environments.…
math.AP2020
Multiple normalized solutions for a Sobolev critical Schrödinger equation
Louis Jeanjean, Thanh Trung LE
We study the existence of standing waves, of prescribed -norm (the mass), for the nonlinear Schrödinger equation with mixed power nonlinearities $$ i \partial_t ϕ+ Δϕ+ μϕ|ϕ|^{…