Results 41 to 50 of about 102,040 (246)
Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
doaj +1 more source
Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations
, 1993 We present a general method for studying long time asymptotics of nonlinear parabolic partial differential equations. The method does not rely on a priori estimates such as the maximum principle.
Bricmont, J., Kupiainen, A., Lin, G.
core +1 more source
Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
, 2013 In this paper, we study the unconditional convergence and error estimates of a Galerkin-mixed FEM with the linearized semi-implicit Euler time-discrete scheme for the equations of incompressible miscible flow in porous media. We prove that the optimal $L^
Bear J. +8 more
core +1 more source
Nonlinear parabolic equations, relaxation and roughness
Bulletin des Sciences Mathématiques, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aubin, Thierry +2 more
openaire +2 more sources
Kelvin Probe Force Microscopy in Bionanotechnology: Current Advances and Future Perspectives
Advanced Materials, EarlyView.Kelvin probe force microscopy (KPFM) enables the nanoscale mapping of electrostatic surface potentials. While widely applied in materials science, its use in biological systems remains emerging. This review presents recent advances in KPFM applied to biological samples and provides a critical perspective on current limitations and future directions for
Ehsan Rahimi +4 more
wiley +1 more source
Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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Dual formulation of second order target problems
, 2013 This paper provides a new formulation of second order stochastic target problems introduced in [SIAM J. Control Optim. 48 (2009) 2344-2365] by modifying the reference probability so as to allow for different scales.
Soner, H. Mete +2 more
core +1 more source
Directional Flow of Confined Polaritons in CrSBr
Advanced Materials, EarlyView.CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak +10 more
wiley +1 more source
Nonlinear parabolic equations with nonlinear functionals
Journal of Mathematical Analysis and Applications, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Yanping, Yin, Hong-Ming
openaire +2 more sources