Quasilinear diffusion equation for electrostatic waves
On the three-dimensional configuration of electrostatic solitary waves
... A technique for constructing the geometrically simplest, spherical solutions of nonlinear Poisson equation is de- scribed in Sect. 2. In Sect. 3 we show that for trapped elec- tron distribution of a particular ...
6
Pitch-angle diffusion coefficients from resonant interactions with electrostatic electron cyclotron harmonic waves in planetary magnetospheres
... ECH waves propagating perpendicular to the ambient magnetic field considering linear wave theory anal- ...pitch-angle diffusion and strong diffu- sion coefficients are also presented in this ...ECH ...
10
Spatial Segregation Limit of a Quasilinear Competition Diffusion System
... σ = 0 , the system (2) is reduced to the classical Volterra-Lotka competition model, which has been studied in [9], where Dancer et al. showed that the two competition species spatially segregate as k tends to infinity. ...
11
Quantum Electrostatic Shock Waves in Symmetric Pair Plasmas
... Keywords: Electrostatic Shock-Wave; Quantum Plasma; Fermi Statistics; Quantum Hydrodynamics; KdVB Equation; QHD 1. Introduction Owing to the wide applicability in miniaturization tech- niques in electronic ...
8
Least energy solutions for a quasilinear Schrödinger equation with potential well
... 13. Guo, Y, Tang, Z: Ground state solutions for the quasilinear Schrödinger equation. Nonlinear Anal. 75, 3235-3248 (2012) 14. Guo, Y, Tang, Z: Ground state solutions for the quasilinear Schrödinger ...
17
1. Existence and uniqueness of quasilinear impulsive functional differential equation
... The theory of impulsive differential equations is an important branch of differential equations, which has an extensive physical background. Impulsive differential equations arise frequently in the modeling many physical ...
9
Concentration of electrostatic solitary waves around magnetic nulls within magnetic reconnection diffusion region: single event based statistics
... reconnection diffusion region (group ...ion diffusion region and around the magnetic null-pairs as summarized in Table 2 suggests that most of the ESWs exhibit a solitary, nonlinear evolution structure; ...
13
ANGEO - Propagation and dispersion of electrostatic waves in the ionospheric E region
... ®rst attempt at an interpretation we want to ®nd out to what extent the observations can be explained by the Farley-Buneman instability alone. In Fig. 1 we show a numerically obtained dispersion relation, with the real ...
12
Spiky parallel electrostatic ion cyclotron and ion acoustic waves
... Using the fluid equations for the plasma consisting of warm electrons and cold ions, a nonlinear wave equation is derived in the rest frame of the propagating wave for any direction of propagation oblique to the ...
5
Trans-sonic cusped shaped, periodic waves and solitary waves of the electrostatic ion-cyclotron type
... plasma waves-solitons, periodic waves and oscillations” ...structure equation for stationary, fully nonlinear, electrostatic, ion-cyclotron ...structure equation to be re- duced to a ...
5
Nonexistence of stable solutions for quasilinear Schrödinger equation
... 4. Chen, C.S.: Liouville type theorem for stable solutions of p-Laplace equation in R N . Appl. Math. Lett. 68, 62–67 (2017) 5. Chen, C.S., Song, H.X., Yang, H.W.: Liouville type theorems for stable solutions of ...
11
On a global classical solution of a quasilinear hyperbolic equation
... In this paper we establish the existence and uniqueness of global classical solutions for the equation which arises in the study of the extensional vibrations of thin rod, or torsional v[r] ...
9
Eigenvalue problems for a quasilinear elliptic equation on ℝN
... On various types of bounded domains, there is an extensive literature on eigenvalue problems and the picture for “the principal eigenpair” seems to be fairly complete. Papers on unbounded domains have appeared quite ...
12
Multiple soliton solutions for a quasilinear Schrodinger equation
... 7. J. P. Garc´ıa Azorero, I. Peral Alonso and J. J. Manfredi, Sobolev versus H¨older local minimizers and global multiplicity for some quasilinear elliptic equations, Commun. Contemp. Math., 2 (2000), 385- 404. 8. ...
16
Global existence and nonexistence of solutions for quasilinear parabolic equation
... Full list of author information is available at the end of the article Abstract This work is concerned with the global existence and nonexistence of solutions for a quasilinear parabolic equation with null ...
12
Existence of nontrivial weak solutions for a quasilinear Choquard equation
... Moreover, the existence of infinitely many weak solutions is obtained via the fountain the- orem. Lastly, we prove that our problem has a sequence of solutions converging to zero in the L ∞ -norm based on the iteration ...
20
1 The Diffusion Equation
... The Diffusion Equation This course considers slightly compressible fluid flow in porous ...differential equation governing the flow can be derived by performing a mass balance on the fluid within a ...
8
Convection-Diffusion Equation
... In particular, we propose a systematic technique in the selection of the grid expansion factor based on its logarithmic relationship with low Peclet number. Such linear mathematical connection between the two ...
5
Automatic Waveform Selection method for Electrostatic Solitary Waves
... (Received January 31, 2000; Revised June 19, 2000; Accepted June 13, 2000) The present paper introduces the Automatic Waveform Selection (AWS) method for identifying the Electrostatic Solitary Waves (ESW) ...
8
Coherent Ion Acceleration using Two Electrostatic Waves
... Abstract We analyze a recently discovered coherent ion acceler- ation mechanism that relies on the nonlinear interac- tion of a magnetized ion with multiple electrostatic waves, at least two of which differ ...
12