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Title: A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem

Abstract

We study the free boundary problem for the plasma–vacuum interface in the case where the plasma density is strictly positive up to the boundary. For the linearized problem we derive the so-called tame estimates which can be used for proving the existence of solutions to the nonlinear problem by the Nash-Moser method.

Authors:
 [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771399
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; INTERFACES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; NONLINEAR PROBLEMS; PLASMA DENSITY; PRESSURE RANGE MICRO PA

Citation Formats

Mandrik, N. V., E-mail: manikitos@gmail.com. A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3732-1.
Mandrik, N. V., E-mail: manikitos@gmail.com. A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem. United States. doi:10.1007/S10958-018-3732-1.
Mandrik, N. V., E-mail: manikitos@gmail.com. Sun . "A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem". United States. doi:10.1007/S10958-018-3732-1.
@article{osti_22771399,
title = {A Priori Tame Estimates in Sobolev Spaces for the Plasma–Vacuum Interface Problem},
author = {Mandrik, N. V., E-mail: manikitos@gmail.com},
abstractNote = {We study the free boundary problem for the plasma–vacuum interface in the case where the plasma density is strictly positive up to the boundary. For the linearized problem we derive the so-called tame estimates which can be used for proving the existence of solutions to the nonlinear problem by the Nash-Moser method.},
doi = {10.1007/S10958-018-3732-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}