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...alent-barotropic modons |url=https://doi.org/10.1063/1.865658 |journal=The Physics of Fluids |volume=29 |issue=5 |pages=1419–1422 |doi=10.1063/1.865658 |issn= ...tps://link.aps.org/doi/10.1103/RevModPhys.71.735|journal=Reviews of Modern Physics | language=en | volume=71 | issue=3|pages=735–778|doi=10.1103/RevModPhys.71 ...

{{distinguish|text=[[Gardner's relation]], a nonlinear equation in rock physics}} ...on]]. The Gardner equation has applications in [[hydrodynamics]], [[plasma physics]] and [[quantum field theory]]{{sfn | Shingareva | Lizárraga-Celaya | 2011 ...

...hemodynamics]], the cell-free layer is a near-wall layer of [[Blood plasma|plasma]] absent of [[red blood cell]]s since they are subject to migration to the ===Governing equations=== ...

...axwell's equations]] and [[Ohm's law]], and plays a major role in [[plasma physics]] and [[astrophysics]], especially in [[dynamo theory]]. Maxwell's equations describing the Faraday's and Ampere's laws read: ...

'''Gyrokinetics''' is a theoretical framework to study [[Plasma (physics)|plasma]] behavior on perpendicular spatial scales comparable to the [[gyroradius]] ...this gyromotion is irrelevant. Averaging over this gyromotion reduces the equations to six dimensions (3 spatial, 2 velocity, and time) rather than the seven ( ...

...ties: from solar flares to edge localized modes in tokamaks|journal=Plasma Physics and Controlled Fusion|language=en|volume=45|issue=12A|pages=A31|doi=10.1088 ...-08-08|title=Explosive instability and erupting flux tubes in a magnetized plasma|journal= Proceedings of the Royal Society A: Mathematical, Physical and Eng ...

...erforming [[Coulomb collision|Coulomb collisions]] in a [[Plasma (physics)|plasma]]. ...properties of the landau kinetic equation |journal=Journal of Statistical Physics|volume=161|issue=6|page=1327|doi=10.1007/s10955-015-1311-0 |bibcode=2015JSP ...

{{short description|Microscopic plasma instability}} ...]]<ref>{{Cite journal |doi = 10.1103/PhysRevLett.10.279|title = Two-Stream Plasma Instability as a Source of Irregularities in the Ionosphere | journal = Phy ...

...diffusion equation is a [[partial differential equation]] commonly used in physics. Understanding the phenomenon is essential to [[magnetohydrodynamics]] and ...e accounts for effects from [[Electromagnetic induction|induction]] of the plasma, while the second accounts for [[diffusion]]. The latter acts as a dissipat ...

...this case the Vlasov-Poisson system, and the conditions prevailing in the plasma during the wave formation process. This means that special attention must b In the Schamel method the Vlasov equations for the species involved are first solved and only in the second step Pois ...

...describes the nonlinear evolution of the cold ion fluid in a two-component plasma under the influence of a self-organized electric field. It is a [[partial d We treat, as an example, the plasma expansion into vacuum, i.e. a plasma that is confined initially in a half-space and is released at t=0 to occu ...

{{Short description|Electrical resistivity of a plasma}} .....89..977S|doi=10.1103/PhysRev.89.977}}</ref> The Spitzer resistivity of a plasma decreases in proportion to the electron temperature as <math>T_\text{e}^{{- ...

...calized mode (ELM)]] which effectively limits the pressure gradient at the plasma edge and the fishbone instability which effectively limits the density and ...d enters the nonlinear phase of evolution. In the nonlinear evolution, the plasma core inside the <math>q=1</math> surface is driven into a [[Magnetic reconn ...

...al modelling of the wave phenomena ([[dispersion relation]]s, evolutionary equations, etc.), may reflect physical parameters of the corona which are not accessi ...'s [[seismology]], [[helioseismology]], and MHD spectroscopy of laboratory plasma devices. In all these approaches, waves of various kind are used to probe a ...

In [[physics]] and [[mathematics]], the '''Clebsch representation''' of an arbitrary [[t ...sult is the [[Euler equations (fluid dynamics)|Euler equations]], a set of equations describing the fluid flow. Note that the mentioned difficulties do not aris ...

{{Differential equations}} ...mistry, biology, medicine, economics, etc. This list presents differential equations that have received specific names, area by area. ...

...e Lagrangian approach to the particle's motion in which case, the required equations are Let the solutions of these equations be ...

{{Short description|Equations describing behavior of a model}} The '''governing equations''' of a [[mathematical model]] describe how the values of the unknown varia ...

...tatic wave structure travelling with ion acoustic speed in a two-component plasma. It now applies to various localized pulse dynamics such as: ...near transmission lines <ref name="myref5" /> or in fiber optics and laser physics.<ref name="myref6" /> ...

{{expert needed|1=Physics|reason=copyedit, create lede|date=May 2019}} In [[quantum physics]], the '''quantum inverse scattering method''' (QISM), similar to the close ...