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
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
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
Well-posedness for the Incompressible Hall-MHD Equations in Low Regularity Spaces
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DOI: 10.1007/s00009-018-1096-x
Abstract: In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $$H^s(\mathbb {R}^3)$$Hs(R3)$$(\frac{3}{2}< s\le \frac{5}{2})$$(32 read more here.
Keywords: well posedness; mhd equations; posedness incompressible; hall mhd ... See more keywords
An $$L^{p}$$-Approach to the Well-Posedness of Transport Equations Associated to a Regular Field: Part II
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DOI: 10.1007/s00009-019-1426-7
Abstract: We investigate transport equations associated to a Lipschitz field on some subspace of $\mathbb{R}^N$ endowedwith a general measure $\mu$ in $L^{p}$-spaces $1 < p read more here.
Keywords: equations associated; field; transport; approach well ... See more keywords
Well-Posedness of Third Order Degenerate Differential Equations with Finite Delay in Banach Spaces
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DOI: 10.1007/s00025-021-01376-8
Abstract: In this paper, we give necessary and sufficient conditions for the $$L^p$$ -well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the third order degenerate differential equation with finite delay: $$(Mu)'''(t) + (Nu)''(t)= Au(t) + Bu'(t) + Gu''_t +… read more here.
Keywords: order degenerate; degenerate differential; finite delay; well posedness ... See more keywords
Well-Posedness for the Generalized Zakharov–Kuznetsov Equation on Modulation Spaces
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DOI: 10.1007/s00041-016-9480-z
Abstract: We consider the Cauchy problem for the generalized Zakharov–Kuznetzov equation $$\partial _t u + \partial _x \Delta u = \partial _x ( u^{m+1} )$$∂tu+∂xΔu=∂x(um+1) on two or three space dimensions. We mainly study the two… read more here.
Keywords: modulation; generalized zakharov; well posedness; posedness generalized ... See more keywords
Remarks on the Well-Posedness of the Euler Equations in the Triebel–Lizorkin Spaces
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DOI: 10.1007/s00041-021-09837-y
Abstract: We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel–Lizorkin spaces, which was not shown in the previous works [ 6 , 7 , 9 ]. The proof… read more here.
Keywords: triebel lizorkin; posedness euler; remarks well; lizorkin spaces ... See more keywords