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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A Beale-Kato-Majda Lipschitz control on density and velocity gradients with strong time integrability, combined with material acceleration estimates, yields a continuation criterion and weak-strong uniqueness for the compressible fluid-viscoelastic shell system.
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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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Blow-Up Criteria and Weak--Strong Uniqueness for Compressible Fluid--Viscoelastic Shell Interactions
A Beale-Kato-Majda Lipschitz control on density and velocity gradients with strong time integrability, combined with material acceleration estimates, yields a continuation criterion and weak-strong uniqueness for the compressible fluid-viscoelastic shell system.