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Existence of self-similar blow-up solutions for Zakhrov equation in dimension two. Part I

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160450204openalex-snapshot
On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass
inferredcites →https://doi.org/10.1007/bf00250555openalex-snapshot
Nonlinear scalar field equations, I existence of a ground state
inferredcites →https://doi.org/10.1007/bf00250556openalex-snapshot
Nonlinear scalar field equations, II existence of infinitely many solutions
inferredcites →https://doi.org/10.1007/bf00251502openalex-snapshot
Uniqueness of positive solutions of Δu−u+up=0 in Rn
inferredcites →https://doi.org/10.1007/bf01208265openalex-snapshot
Nonlinear Schr�dinger equations and sharp interpolation estimates
inferredcites →https://doi.org/10.1007/bf01403504openalex-snapshot
Orbital stability of standing waves for some nonlinear Schr�dinger equations
inferredcites →https://doi.org/10.1007/bf01463396openalex-snapshot
The nonlinear Schr�dinger limit of the Zakharov equations governing Langmuir turbulence
inferredcites →https://doi.org/10.1007/bf01626517openalex-snapshot
Existence of solitary waves in higher dimensions
inferredcites →https://doi.org/10.1007/bf02103281openalex-snapshot
Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. Part II
inferredcites →https://doi.org/10.1016/0022-1236(79)90076-4openalex-snapshot
On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
inferredcites →https://doi.org/10.1016/0022-1236(88)90036-5openalex-snapshot
Equations of Langmuir turbulence and nonlinear Schrödinger equation: Smoothness and approximation
inferredcites →https://doi.org/10.1063/1.523491openalex-snapshot
On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
inferredcites →https://doi.org/10.1063/1.859852openalex-snapshot
Singular solutions of the Zakharov equations for Langmuir turbulence
inferredcites →https://doi.org/10.1103/physreva.46.7869openalex-snapshot
Stability of isotropic self-similar dynamics for scalar-wave collapse
inferredcites →https://doi.org/10.1137/0516034openalex-snapshot
Modulational Stability of Ground States of Nonlinear Schrödinger Equations
inferredcites →https://doi.org/10.1216/rmj-1973-3-2-161openalex-snapshot
Some aspects of nonlinear eigenvalue problems
inferredcites →https://doi.org/10.2977/prims/1195168430openalex-snapshot
Existence and Smoothing Effect of Solutions for the Zakharov Equations
inferredcites →https://doi.org/10.57262/die/1370955415openalex-snapshot
The nonlinear Schrödinger limit and the initial layer of the Zakharov equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Blowing Up Solutions to the Zakharov System for Langmuir Waves
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Blow-up results of viriel type for Zakharov equations
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Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. Part II
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On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation
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Global well-posedness and the classical limit of the solution for the quantum Zakharov system
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Quantum Zakharov model in a bounded domain
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The fourth-order nonlinear Schrödinger limit for quantum Zakharov system
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Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation
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Optimal Lower Bound for the Blow-Up Rate of the Magnetic Zakharov System Without the Skin Effect
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Profiles and Quantization of the Blow Up Mass for Critical Nonlinear Schr�dinger Equation
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Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime
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A Conservative Linearly-Implicit Compact Difference Scheme for the Quantum Zakharov System
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On the limit behavior of the magnetic Zakharov system
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Local well-posedness for the Zakharov system on the multidimensional torus
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Construction of blow-up solutions for Zakharov system on \( T^{2} \)
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Simulation of laser propagation in a plasma with a frequency wave equation
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Supersonic limit for the Zakharov–Rubenchik system
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Pullback dynamics and statistical solutions for dissipative non-autonomous Zakharov equations
inferred← citeshttps://doi.org/10.1016/j.jde.2024.02.044openalex-snapshot
Existence of radially symmetric blow-up solutions for quantum Zakharov system
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Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma
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Blow-up and nonlinear instability for the magnetic Zakharov system
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Some remarks on the blow-up rate for the 3D magnetic Zakharov system
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Optimal lower bound estimates for the blow-up rate for the Zakharov system in a nonhomogeneous medium
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On the standing waves of quantum Zakharov system
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The electrostatic limit for the 3D Zakharov system
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Wave collapse in physics: principles and applications to light and plasma waves
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Finite-time blow-up in dynamical systems
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The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
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Theoretical and numerical study of a quasi-linear Zakharov system describing Landau damping
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Dynamics of stochastic Zakharov equations
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Near soliton dynamics and singularity formation for $ L^2$ critical problems
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Finite-time blowup for Zakharov system with combined power-type nonlinearities
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Blow-Up Solutions of Modified Schrödinger Maps
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Regularity properties of the Zakharov system on the half line
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Justification of the Zakharov Model from Klein–Gordon-Wave Systems
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Blow-up solutions of the Chern–Simons–Schrödinger equations
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On the 2D Zakharov system withL2Schrödinger data
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Well-posedness of the Cauchy problem for the magnetic Zakharov type system
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Global well-posedness and scattering for the quantum Zakharov system in 𝐿²
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Arrest of Langmuir wave collapse by quantum effects
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Attractor for Dissipative Zakharov Equations in an Unbounded Domain
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INTERACTION OF LASER BEAMS WITH A PLASMA
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L2-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM
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LOWER BOUND FOR THE RATE OF BLOW-UP OF SINGULAR SOLUTIONS OF THE ZAKHAROV SYSTEM IN ℝ3
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Local well-posedness for the quantum Zakharov system in one spatial dimension
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Semi-classical Limit for the Quantum Zakharov System
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On the Cauchy problem for the Zakharov-Rubenchik/ Benney-Roskes system
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Local well-posedness for the Zakharov system on the background of a line soliton
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Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime
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Local well-posedness for the Zakharov system on multidimensional torus
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Regularity Bounds on Zakharov System Evolutions
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On a quasilinear Zakharov system describing laser-plasma interactions
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