Existence is proved for solutions of nonlinear stationary Kolmogorov equations with partially degenerate diffusion and discontinuous coefficients using a Lyapunov integral condition and projection regularity.
J¨ ungel, Entropy methods for diffusive partial differential equations, Cham: Springer
2 Pith papers cite this work. Polarity classification is still indexing.
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Develops energy-stable asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation via SBP operators and IMEX Runge-Kutta methods guided by relative-energy error estimates.
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Existence theorems for nonlinear stationary Kolmogorov equations with partially degenerate diffusion matrices
Existence is proved for solutions of nonlinear stationary Kolmogorov equations with partially degenerate diffusion and discontinuous coefficients using a Lyapunov integral condition and projection regularity.
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Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
Develops energy-stable asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation via SBP operators and IMEX Runge-Kutta methods guided by relative-energy error estimates.