Construction of Multibubble Solutions for the Critical GKDV Equation
From MaRDI portal
Publication:4576981
DOI10.1137/17M1140595zbMath1397.35249arXiv1706.09870WikidataQ129527107 ScholiaQ129527107MaRDI QIDQ4576981
Publication date: 11 July 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.09870
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)
Related Items (7)
Existence of two-solitary waves with logarithmic distance for the nonlinear Klein–Gordon equation ⋮ Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5 ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ Full family of flattening solitary waves for the critical generalized KdV equation ⋮ Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system ⋮ Description and classification of \(2\)-solitary waves for nonlinear damped Klein-Gordon equations ⋮ On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Codimension one threshold manifold for the critical gKdV equation
- Blow-up in several points for the nonlinear Schrödinger equation on a bounded domain.
- Blow up for the critical gKdV equation. II: Minimal mass dynamics
- Construction of two-bubble solutions for some energy-critical wave equations
- Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation
- Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations
- Stable self-similar blow-up dynamics for slightly \(L^{2}\) super-critical NLS equations
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
- Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
- A Liouville theorem for the critical generalized Korteweg-de Vries equation
- Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
- \(\log\)-\(\log\) blow up solutions blow up at exactly \(m\) points
- Stability and asymptotic stability for subcritical gKdV equations
- Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton
- Green's function and infinite-time bubbling in the critical nonlinear heat equation
- Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation
- Existence and stability of the log-log blow-up dynamics for the \(L^2\)-critical nonlinear Schrödinger equation in a domain
- On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
- Existence of blow-up solutions in the energy space for the critical generalized KdV equation
- Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension
- Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension
- Blow up for the critical gKdV equation III: exotic regimes
- Multi-Soliton Solutions for the Supercritical gKdV Equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Solution of a nonlinear heat equation with arbitrarily given blow-up points
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Nonexistence of two-bubbles with opposite signs for the radial energy-critical wave equation
- Self-similar solutions to super-critical gKdV
- Blow-up solutions forL2supercritical gKdV equations with exactlykblow-up points
- Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
- Stable self-similar blow-up dynamics for slightly \(L^2\)-supercritical generalized KdV equations
- Instability of solitons for the critical generalized Korteweg-de Vries equation
This page was built for publication: Construction of Multibubble Solutions for the Critical GKDV Equation
