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math.AP2026
Remarks on the two-dimensional Cahn-Hilliard equation forced by divergence of space-time white noise
Kazuo Yamazaki
We consider the two-dimensional Cahn-Hilliard equation forced by divergence of space-time white noise that represents Kawasaki dynamics in conservative form. The standard heuristic…
math.PR2026
Remarks on the convex integration technique applied to singular stochastic partial differential equations
Hongjie Dong, Kazuo Yamazaki
Singular stochastic partial differential equations informally refer to the partial differential equations with rough random force that leads to the products in the nonlinear terms…