Plane wave diffraction by a wedge in a magnetoactive plasma under mixed boundary conditions and a ?thermodynamic paradox?

Bobrovnikov, M. S.; Fisanov, V. V.

doi:10.1007/bf00895900

Cited by 2 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is also possible to form mixed Dirichlet-Neumann problems for operators of the form (3.4). Mixed boundary value problems arise in various contexts in plasma physics (e.g., [7]) and in related topics from electromagnetic theory (e.g., [19], which is related to the model of Sec. 2.4.1).…”

Section: Mixed Boundary Value Problems With Closed Boundary Datamentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Aspects of the Cold Plasma Model

Otway

2010

Interdisciplinary Mathematical Sciences

View full text Add to dashboard Cite

A simple model for electromagnetic wave propagation through zerotemperature plasma is analyzed. Many of the complexities of the plasma state are present even under these idealized conditions, and a number of mathematical difficulties emerge. In particular, boundary value problems formulated on the basis of conventional electromagnetic theory turn out to be ill-posed in this context. However, conditions may be prescribed under which solutions to the Dirichlet problem exist in an appropriately weak sense. In addition to its physical interest, analysis of the cold plasma model illuminates generic difficulties in formulating and solving boundary value problems for mixed elliptic-hyperbolic partial differential equations.

show abstract

Section: Mixed Boundary Value Problems With Closed Boundary Datamentioning

confidence: 99%

“…Mixed boundary value problems arise in various contexts in plasma physics (e.g., [7]) and in related topics from electromagnetic theory (e.g., [19], which is related to the model of Sec. 2.4.1).…”

Section: Mixed Boundary Value Problems With Closed Boundary Datamentioning

confidence: 99%

Mathematical Aspects of the Cold Plasma Model

Otway

2010

Interdisciplinary Mathematical Sciences

View full text Add to dashboard Cite

show abstract

“…For instance, the use of the Wiener-Hopf method calls for solving a system of two functional equations. By the example of a wedge formed by coupling an electric and a magnetic side, the paradox of scattering of a unidirectional surface wave by the edge of the object that was immersed in a nondissipative hydroelectric medium has been proposed [13] and then explained [14].…”

Section: Introductionmentioning

confidence: 99%