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On the Numerical Integration of the Fokker-Planck Equation Driven by a Mechanical Force and the Bismut-Elworthy-Li Formula. [PDF]

Entropy (Basel)
Sanders J, Muratore-Ginanneschi P.
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Modelling non-local cell-cell adhesion: a multiscale approach. [PDF]

J Math Biol
Zhigun A, Rajendran ML.
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Thermodynamic quantum phase transition by the structural-stability-based catastrophe theory. [PDF]

iScience
Wu JH, Niu J, Liu HL, Zhou K.
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Energy-speed relationship of quantum particles challenges Bohmian mechanics. [PDF]

Nature
Sharoglazova V, Puplauskis M, Mattschas C, Toebes C, Klaers J.   +4 more
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A quasilinear degenerate parabolic equation

A quasilinear degenerate parabolic equation
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A System of Degenerate Parabolic Equations

SIAM Journal on Mathematical Analysis, 1990
The 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, 1997
The 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, 2002
A 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, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingquan Chang, Dandan Li, Chunyou Sun
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