Well‐posedness of degenerate differential equations with fractional derivative in vector‐valued functional spaces
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DOI: 10.1002/mana.201500481
Abstract: In this paper, we study the well-posedness of the degenerate differential equations with fractional derivative Dα(Mu)(t)=Au(t)+f(t),(0≤t≤2π) in Lebesgue–Bochner spaces Lp(T;X), periodic Besov spaces Bp,qs(T;X) and periodic Triebel–Lizorkin spaces Fp,qs(T;X), where A and M are closed… read more here.
Keywords: degenerate differential; well posedness; fractional derivative; posedness degenerate ... See more keywords
Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum
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DOI: 10.1002/mana.201900249
Abstract: In this work, we prove the local well‐posedness of local strong solutions to an isentropic compressible Ginzburg–Landau–Navier–Stokes system with vacuum in a bounded domain Ω⊂R3 . read more here.
Keywords: landau navier; isentropic compressible; ginzburg landau; compressible ginzburg ... See more keywords
Global well‐posedness of the 3D hydrostatic magnetohydrodynamics equations
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DOI: 10.1002/mma.10109
Abstract: In this paper, the three‐dimensional hydrostatic magnetohydrodynamic (HMHD) equations are considered on a thin domain. We showed the global existence and uniqueness (regularity) of strong solutions to the three‐dimensional incompressible HMHD equations without any small… read more here.
Keywords: well posedness; magnetohydrodynamics; magnetohydrodynamics equations; posedness hydrostatic ... See more keywords
Well‐posedness and error analysis of wave equations with Markovian switching
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DOI: 10.1002/mma.10181
Abstract: Compared to traditional partial differential equation modeling methods, Markov switching models can accurately capture the abrupt changes or jumps that complex systems often experience in the real world. In this paper, we propose a novel… read more here.
Keywords: markovian switching; well posedness; posedness error; model ... See more keywords
Global Well‐Posedness of Landau–Lifshitz Flow With External Electromagnetic Field for Small Data in Three Dimensions
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DOI: 10.1002/mma.10915
Abstract: The Landau–Lifshitz–Maxwell system is an important model in magnetic storage devices, where the magnetization is affected by external electromagnetic fields. In this article, we are interested in the special case of the coupled system, that… read more here.
Keywords: landau lifshitz; small data; well posedness; external electromagnetic ... See more keywords
Well‐Posedness and Long Time Behavior for an Abstract Coupled System of Kirchhoff and Heat Equations
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DOI: 10.1002/mma.11068
Abstract: In this article, we consider a Cauchy problem in a Hilbert space an abstract quasilinear coupled system consisting of Kirchhoff and heat equations, where the coupling is an operator depending on a parameter θ$$ \theta… read more here.
Keywords: system; heat equations; coupled system; well posedness ... See more keywords
Well‐posedness and iterative formula for fractional oscillator equations with delays
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DOI: 10.1002/mma.5572
Abstract: This paper investigates the well‐posedness and iterative formula for fractional oscillator equations with two different fractional orders and time delays. By the mathematical induction, a new generalized Grönwall's inequality in terms of a multivariate Mittag‐Leffler… read more here.
Keywords: fractional oscillator; formula; well posedness; posedness iterative ... See more keywords
Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
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DOI: 10.1002/mma.6673
Abstract: In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system. For stability results, we… read more here.
Keywords: beam distributed; well posedness; thermoelastic laminated; distributed delay ... See more keywords
Well‐posedness and stability for a Petrovsky equation with properties of nonlinear localized for strong damping
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DOI: 10.1002/mma.6963
Abstract: In this article, we consider a nonlinear damped Petrovsky equation in bounded domain. The nonlinear damping is effective only in a neighborhood of a suitable subset of the boundary. The well‐posedness and regularity of solution… read more here.
Keywords: equation properties; well posedness; stability petrovsky; petrovsky equation ... See more keywords
On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients
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DOI: 10.1002/mma.70103
Abstract: This paper presents a theoretical analysis of a nonlinear diffusion‐based model for image denoising. The proposed model introduces a diffusion coefficient that simultaneously depends on the image gradient, gray‐level information, and a fractional‐order gradient operator.… read more here.
Keywords: diffusion equation; well posedness; gray level; nonlinear diffusion ... See more keywords
Global well‐posedness and asymptotics of full compressible non‐resistive magnetohydrodynamics system with large external potential forces
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DOI: 10.1002/mma.7774
Abstract: We consider the global well‐posedness and asymptotic behavior of compressible viscous, heat‐conductive, and non‐resistive magnetohydrodynamics (MHD) fluid in a field of external forces over three‐dimensional periodic thin domain Ω=𝕋2×(0,δ) . The unique existence of the… read more here.
Keywords: resistive magnetohydrodynamics; system; non resistive; well posedness ... See more keywords