{
"OpenAlex": {
"id": "https://openalex.org/T11654",
"display_name": "Global Well-Posedness of Nonlinear Wave Equations",
"description": "This cluster of papers focuses on the global well-posedness, scattering, and blow-up phenomena for various nonlinear wave equations, including the nonlinear Schr\u00f6dinger equation, wave maps equation, Korteweg-de Vries equation, and dispersive equations. The research also explores the behavior of solitons and critical exponent for energy-critical equations.",
"keywords": [
"Global Well-Posedness",
"Nonlinear Schr\u00f6dinger Equation",
"Scattering",
"Blow-Up",
"Dispersive Equations",
"Strichartz Estimates",
"Energy-Critical Equations",
"Wave Maps Equation",
"Korteweg-de Vries Equation",
"Solitons"
],
"ids": {
"openalex": "https://openalex.org/T11654",
"wikipedia": "https://en.wikipedia.org/wiki/Nonlinear_wave_equation"
},
"subfield": {
"id": "https://openalex.org/subfields/2610",
"display_name": "Mathematical Physics"
},
"field": {
"id": "https://openalex.org/fields/26",
"display_name": "Mathematics"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
},
"siblings": [
{
"id": "https://openalex.org/T14500",
"display_name": "Advancements in Mathematics and Mathematical Physics"
},
{
"id": "https://openalex.org/T13400",
"display_name": "Applications of Generalized Functions in Mathematics and Physics"
},
{
"id": "https://openalex.org/T10899",
"display_name": "Classification and Properties of C*-Algebras"
},
{
"id": "https://openalex.org/T10896",
"display_name": "Deformation Quantization of Poisson Manifolds"
},
{
"id": "https://openalex.org/T10588",
"display_name": "Dynamical Systems and Chaos Theory"
},
{
"id": "https://openalex.org/T11205",
"display_name": "Inverse Problems in Mathematical Physics and Imaging"
},
{
"id": "https://openalex.org/T13234",
"display_name": "p-adic Models in Mathematical Physics"
},
{
"id": "https://openalex.org/T11680",
"display_name": "Proofs of Langlands Conjectures for GL(n)"
},
{
"id": "https://openalex.org/T11152",
"display_name": "Scaling Limits of Interacting Particle Systems"
},
{
"id": "https://openalex.org/T11022",
"display_name": "Spectral Theory of Differential Operators"
},
{
"id": "https://openalex.org/T11545",
"display_name": "Theory of Banach Spaces and Operators"
}
],
"works_count": 37786,
"cited_by_count": 486723,
"updated_date": "2024-08-26T05:50:30.321060",
"created_date": "2024-01-23"
}
}