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Modelling non-local cell-cell adhesion: a multiscale approach. [PDF]
Zhigun A, Rajendran ML.
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Circularly Polarized Polariton Lasing from Spin-Momentum Locking in Deformed Plasmonic Kagome Cavities. [PDF]
Zheng Z +6 more
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A System of Degenerate Parabolic Equations
SIAM Journal on Mathematical Analysis, 1990The system of two nonlinear equations which arises in plasma physics is considered. The equations are of degenerate parabolic type. The global existence theorem for the Cauchy problem is proved. The proof is based on the Lagrangian transformation, thus using a particular structure of the system.
BERTSCH, MICHIEL, Kamin, S.
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Nonlinear Degenerate Parabolic Equations
Acta Mathematica Hungarica, 1997The author proves the existence of weak solutions of the nonlinear degenerate parabolic initial-boundary value problem \[ {{\partial u}\over{\partial t}} - \sum_{i=1}^N D_iA_i(x,t,u,Du) + A_0(x,t,u,Du) = f(x,t)\quad\text{ in }\Omega\times(0,T), \] \[ u(x,0) = u_0(x)\quad \hbox{ in }\Omega, \] in the space \(L^p(0,T,W^{1,p}_0(v,\Omega))\), where ...
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A numerical approach to degenerate parabolic equations
Numerische Mathematik, 2002A class of degenerate parabolic equations typically describing the gas flow through porous media is considered. The numerical difficulties in treating such problems arise from the nonlinear degeneracy of the equations. Such problems can be investigated through a parabolic regularization which can be constructed in different ways.
Iuliu Sorin Pop, Wen-An Yong
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Dynamics for a stochastic degenerate parabolic equation
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingquan Chang, Dandan Li, Chunyou Sun
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Homogenization of degenerate elliptic‐parabolic equations
Asymptotic Analysis, 2004In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂ t −div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the ...
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Degenerate integrodifferential equations of parabolic type
2006Il contributo è un articolo scientifico originale, non pubblicato altrove in nessuna forma, e sottoposto a referee. Il volume contiene solo articoli originali.
FAVINI, ANGELO, A. LORENZI, H. TANABE
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