摘要:

AbstractA non‐linear one‐dimensional kinetic model for an ionized gas is considered. In this model the collisions between charged and neutral particies and the field generated by the charges are taken into account. The Cauchy problem for the resulting system of equations is examined. An existence and uniqueness theorem of a global in time solution is pro

ISSN:0170-4214    

DOI:10.1002/mma.1670130202

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractIn a joint paper with K. Morgenröther [9] we have studied the propagation of scalar waves in domains of the type Ω = Ωo−B̄ with Ωo:=ℝ2× (0, 1), whereBis a smooth bounded domain with B̄ ⊏ Ωo. In particular, we have shown that the solution of Neumann's initial and boundary value problem for the wave equation with time‐independent right‐hand side ƒ increases with a logarithmic rate ast→ ∞ if the integral over ƒ does not vanish. The main purpose of the present paper is to extend this result to arbitrary smooth lo

ISSN:0170-4214    

DOI:10.1002/mma.1670130203

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractA system of equations is investigated which models a reacting mixture of viscous fluids acted upon by an external body force. Through logarithmic convexity arguments the solution is shown to be unique when either the initial or the final data are given.

ISSN:0170-4214    

DOI:10.1002/mma.1670130204

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractWe present an asymptotic analysis of the quantum Liouville equation with respect to the Planck's constant, which models the temporal evolution of the (quasi)distribution of an ensemble of electrons under the action of a potential. We consider two cases: firstly a smooth potential, and secondly a potential modelled by a δ‐distribution. In both cases the zeroth‐order term behaves classically. In the smooth case the classical Liouville equation is satisfied and in the case for the δ‐potential an interface condition is derived, so that everything is reflected at the potential

ISSN:0170-4214    

DOI:10.1002/mma.1670130205

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractClassical solutions of the relativistic Vlasov–Maxwell system are considered, describing a collisionless plasma with two species of particles. ions and electrons. It is shown that as the ion massmtends to infinity, the corresponding solution of the relativistic Vlasov–Maxwell system tends to the solution of a system, in which the ions are given by a fixed ion background and only the electrons move. The convergence is uniform on compact time intervals, with an asymptotic convergence rate of

ISSN:0170-4214    

DOI:10.1002/mma.1670130206

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractThe time evolution of a collisionless plasma is studied in the case when the Viasov density ƒ is a function of the time, one space variable and two velocity variables. The electromagnetic fieldsE, Balso have a special structure, and the magnetic fieldBis non‐trivial. It is shown that smooth, consistent initial values generate a uniquc smooth global soluti

ISSN:0170-4214    

DOI:10.1002/mma.1670130207

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractSome remarks complementary to the work of N. Dencker in [1] concerning the wave front of polarization are given. The theorem due to N. Dencker about the propagation of a wave front of polarization is applied to solutions for the evolution of the three‐dimensional Lame system. The propagation of polarized solutions is establishe

ISSN:0170-4214    

DOI:10.1002/mma.1670130208

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

ISSN:0170-4214    

DOI:10.1002/mma.1670130201

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY