Quantitative trace estimates for the Maxwell system in Lipschitz domains
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DOI: 10.1002/mma.7434
Abstract: We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace… read more here.
Keywords: lipschitz domains; maxwell system; system lipschitz; quantitative trace ... See more keywords
Thermodynamics of the 3-dimensional Einstein-Maxwell system
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DOI: 10.1007/jhep06(2024)134
Abstract: Recently, I studied the thermodynamical properties of the Einstein-Maxwell system with a box boundary in 4-dimensions [1]. In this paper, I investigate those in 3-dimensions using the zero-loop saddle-point approximation and focusing only on a… read more here.
Keywords: thermodynamics; system; thermodynamics dimensional; einstein maxwell ... See more keywords
Algebra of invariants for the Vlasov–Maxwell system
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DOI: 10.1063/5.0269952
Abstract: The algebra of invariants for both the relativistic and nonrelativistic multispecies Vlasov–Maxwell system is examined, including the case with a fixed ion background. Invariants and their associated fluxes are obtained directly from the Vlasov–Maxwell system.… read more here.
Keywords: maxwell system; algebra invariants; algebra; vlasov maxwell ... See more keywords
Positive ground state solutions for quasicritical the fractional Klein–Gordon–Maxwell system with potential vanishing at infinity
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DOI: 10.1080/17476933.2018.1434625
Abstract: ABSTRACT This paper deals with the fractional Klein–Gordon–Maxwell system when the nonlinearity has a quasicritical growth at infinity, where V(x) is bounded or involving zero mass potential, that is, when , as . The interaction… read more here.
Keywords: fractional klein; klein gordon; maxwell system; ground state ... See more keywords
Two solutions for a nonhomogeneous Klein–Gordon–Maxwell system
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DOI: 10.14232/ejqtde.2019.1.40
Abstract: In this paper, we consider the following nonhomogeneous Klein–Gordon– Maxwell system{ −∆u + V(x)u− (2ω + φ)φu = f (x, u) + h(x), x ∈ R3, ∆φ = (ω + φ)u2, x ∈ R3, where… read more here.
Keywords: two solutions; gordon maxwell; klein gordon; maxwell system ... See more keywords