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Random Neural Networks for Rough Volatility. [PDF]

Appl Math Optim
Jacquier A, Žurič Ž.
europepmc   +1 more source

High Power Density for All-Fe₂VAl-based Thermoelectric Module by Enhancing the Power Factor of p-type Leg Through Defect-Engineering and Wetting Effect. [PDF]

Small Methods
Tarachand, Tsujii N, Chetty R, Babu J, Mori T.   +4 more
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Light-matter coupling via quantum pathways for spontaneous symmetry breaking in van der Waals antiferromagnetic semiconductors. [PDF]

Nat Commun
Sim KI, Kim JH, Park BC.
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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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Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems

Applied Numerical Mathematics, 1998
Existence of a weak solution is proved for a class of mixed Neumann-Dirichlet problems for a degenerate parabolic system of partial differential equations. The proof is based on a temporal discretization which produces a nondegenerate elliptic system at each time step.
Kačur, J., Luckhaus, S.
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The critical exponent of degenerate parabolic systems

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Yuan-Wei, Levine, H. A.
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Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
In our papers [ibid. 349, 83-128 (1984; Zbl 0527.35038) and ibid. 357, 1- 22 (1985; Zbl 0549.35061)] we established continuity and Hölder continuity for the spatial gradient of weak solutions of \[ (1)\quad \partial u^ i/\partial t-div(| \nabla u|^{p-2} \nabla u^ i)=f^ i\quad (i=1,2,...,m). \] We claimed that these results hold not only for \(p\geq 2\)
DiBenedetto, Emmanuele, Friedman, Avner
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Reaction–diffusion system approximation to degenerate parabolic systems

Nonlinearity, 2007
In this paper, a degenerate parabolic system including Stefan and porous medium type systems is considered. We propose a reaction–diffusion system with a solution that approximates that of a degenerate parabolic system. The reaction–diffusion system includes only a simple reaction and linear diffusion. Resolving semi-linear problems is typically easier
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