A geometric level-set formulation of a plasma-sheath interface
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Publication:2572456
DOI10.1007/s00205-005-0368-3zbMath1076.76078arXivmath-ph/0409040OpenAlexW1966776912MaRDI QIDQ2572456
Mikhail Feldman, Seung-Yeal Ha, Marshall Slemrod
Publication date: 9 November 2005
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0409040
PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (10)
A stable fixed point method for the numerical simulation of a kinetic collisional sheath ⋮ A variational sheath model for stationary gyrokinetic Vlasov–Poisson equations ⋮ The kinetic and hydrodynamic Bohm criteria for plasma sheath formation ⋮ Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer ⋮ Stability and existence of stationary solutions to the Euler-Poisson equations in a domain with a curved boundary ⋮ Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem ⋮ A minimization formulation of a bi-kinetic sheath ⋮ Global smooth ion dynamics in the Euler-Poisson system ⋮ SELF-SIMILAR ISOTHERMAL IRROTATIONAL MOTION FOR THE EULER, EULER–POISSON SYSTEMS AND THE FORMATION OF THE PLASMA SHEATH ⋮ Asymptotic Stability of Plasma Boundary Layers to the Euler--Poisson Equations with Fluid-Boundary Interaction
Cites Work
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- A model for plasma expansion in vacuum
- The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
- Global existence of plasma ion-sheaths and their dynamics
- Level set methods and dynamic implicit surfaces
- Configuration forces as basic concepts of continuum physics
- The quantum Child-Langmuir problem
- The Child–Langmuir Law for the Boltzmann Equation of Semiconductors
- Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
- The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 1: Statement of the Problem and Basic Estimates
- Convergence of the Child–Langmuir Asymptotics of the Boltzmann Equation of Semiconductors
- An Euler-Poisson system in plasmas
- A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode
- Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables
- Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
- \(L^2\) well-posedness of planar div-curl systems
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