Results 31 to 40 of about 100,249 (259)
Classical solutions to quasilinear parabolic problems with dynamic boundary conditions
, 2015 We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic ...
Guidetti, Davide
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An efficient nonlinear iteration scheme for nonlinear parabolic–hyperbolic system
Journal of Computational and Applied Mathematics, 2011 A nonlinear iteration method called the Picard-Newton iteration is studied for a two-dimensional nonlinear coupled parabolic-hyperbolic system. It serves as an efficient method to solve a nonlinear discrete scheme with second order spatial and temporal accuracy.
Cui, Xia, Yuan, Guang-wei, Yue, Jing-yan
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On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system
Boundary Value Problems, 2019 This paper focuses on a degenerate boundary value problem arising from the study of the two-dimensional Riemann problem to the nonlinear wave system.
Jiajia Liu, Yanbo Hu, Tiehong Zhao
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A coupled nonlinear hyperbolic-parabolic system
Journal of Mathematical Analysis and Applications, 1977 AbstractA boundary initial value problem for a quasi-linear hyperbolic system in one space variable is coupled to a boundary initial value problem for a quasi-linear parabolic equation in two space variables. The coupling occurs through one of the boundary conditions for the hyperbolic system and the source term in the parabolic equation.
Cannon, J.R, Ewing, Richard E
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Renormalized Solutions to a Nonlinear Parabolic-Elliptic System [PDF]
SIAM Journal on Mathematical Analysis, 2005 Junta de Andalucía FQM ...
González Montesinos, María Teresa +1 more
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Long-time self-similar asymptotic of the macroscopic quantum models
, 2008 The unipolar and bipolar macroscopic quantum models derived recently for instance in the area of charge transport are considered in spatial one-dimensional whole space in the present paper.
Carrillo J. A. +6 more
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Analysis and optimal boundary control of a nonstandard system of phase field equations [PDF]
, 2012 We investigate a nonstandard phase field model of Cahn-Hilliard type. The model describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +2 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov +2 more
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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
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Convergence analysis for a nonlinear system of parabolic variational inequalities
Journal of Inequalities and Applications, 2022 This work aims to provide a comprehensive and unified numerical analysis for a nonlinear system of parabolic variational inequalities (PVIs) subject to Dirichlet boundary condition. This analysis enables us to establish the existence of an exact solution
Yahya Alnashri
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