Results 51 to 60 of about 15,297,882 (275)
Parabolic equations with the second-order Cauchy conditions on the boundary [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with homogenuous Cauchy condition at initial time and with the second order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described explicitly in frequency domain.
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A Universal van der Waals Tunneling Injector for Monolayer CMOS
Advanced Materials, EarlyView.A universal van der Waals injector unlocks polarity‐flexible tunneling contacts for monolayer CMOS. SnSe2, an intrinsically degenerate 2D semiconductor, establishes polarity‐specific band alignments with both WSe2 and MoS2 channels, enabling steep switching, high on/off ratios, and a unified route to low‐power 2D logic.
Hanbin Cho +17 more
wiley +1 more source
Electronic Journal of Differential Equations, 2014 We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the ...
Allaberen Ashyralyev +2 more
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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A Cryopreservation‐Based Supply Chain Strategy for Extrusion Bioprinting in Space
Advanced Materials Technologies, EarlyView.Extrusion bioprinting on crewed space platforms requires a bioink that stays functional along the logistic chain. Here, cells and biomaterial ink travel separately, the cells cryopreserved and the ink cold stored, and are combined only minutes before printing.
Johannes Windisch +7 more
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Quasilinear Evolution Equations in LμP-Spaces with Lower Regular Initial Data
Journal of Function Spaces, 2018 We study the Cauchy problem of the quasilinear evolution equations in Lμp-spaces. Based on the theories of maximal Lp-regularity of sectorial operators, interpolation spaces, and time-weighted Lp-spaces, we establish the local posedness for a class of ...
Qinghua Zhang
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Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
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A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application
Electronic Journal of Differential Equations, 2010 In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
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On strongly loaded heat equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The article is devoted to the research of boundary value problems for the spectrum - loaded operator of heat conduction with the moving point of loading to the temporary axle in zero or on infinity. For strongly loaded parabolic 2k - order equations the
D.M. Akhmanova +2 more
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Liouville’s theorem for parabolic equations of the second order with constant coefficients [PDF]
Proceedings of the American Mathematical Society, 1958 Ou(x, t) m 62U(x, t) m Ou(x, t) (1) -= x aii t + Eb cu(x, t). d9t ,1j=1 0x,fty i=1 d9x, The coefficients aij, bi and c are real constants, (aij) is a positive matrix and the solutions u(x, t) are defined and nonnegative in the half space oo
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