2 papers
math.PR2025
Singular SPDEs with the Cauchy-Riemann operator on a torus
ZdzisÅaw Brzeźniak, Mikhail Neklyudov, Evelina Shamarova
We prove the existence of solution to the following -valued singular SPDE on the 2D torus : \begin{align} \label{CR} \partial_{\bar z} r = r \times \ove…
math.AP2025
Steady states of FitzHugh-Nagumo-type systems with sign-changing coefficients
João Marcos do Ã, Evelina Shamarova, Victor V. Silva
We establish existence and multiplicity results for steady-state solutions of spatially heterogeneous FitzHugh-Nagumo-type systems, extending the existing theory from constant to v…