The Cauchy problem for a generalized Zakharov system
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Publication:1343055
zbMath0833.35130MaRDI QIDQ1343055
Publication date: 18 March 1996
Published in: Differential and Integral Equations (Search for Journal in Brave)
local existenceglobal existencesmall initial dataZakharov systemcold plasmasmooth initial datahot plasma
NLS equations (nonlinear Schrödinger equations) (35Q55) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (15)
On the existence and uniqueness of smooth solution for a generalized Zakharov equation ⋮ On the limit behavior of the magnetic Zakharov system ⋮ On the Cauchy problem for the magnetic Zakharov system ⋮ Nonlocal nonlinear Schrödinger equations in \(\mathbb R^{3}\) ⋮ Blow-up and nonlinear instability for the magnetic Zakharov system ⋮ Sharp threshold of global existence for a nonlocal nonlinear Schrödinger system in \(\mathbb{R}^3\) ⋮ Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma ⋮ Blow-up phenomena of the vector nonlinear Schrödinger equations with magnetic fields ⋮ Some remarks on the blow-up rate for the 3D magnetic Zakharov system ⋮ Unnamed Item ⋮ Global smooth solutions for the nonlinear Schrödinger equation with magnetic effect ⋮ Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma ⋮ Qualitative analysis of solutions for the generalized Zakharov equations with magnetic field in \mathbb{R}^d ⋮ On the convergence of the solution for a generalized Zakharov system ⋮ Sharp threshold of global existence for the generalized Zakharov system with three-dimensional magnetic field in the subsonic limit
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