Preprints:
PERUSATO, C. F.; VEGA, F. Improved decay results for micropolar flows with nonlinear damping, 2024. ArXiv Link.
GUTERRES, R; MELO, W.; PERUSATO, C. F.; ZINGANO, P. R. Strong Alignment of Micro-rotation and Vorticity in 3D Micropolar Flows, 2023. ArXiv Link.
Published or accepted papers:
BRAZ E SILVA, P.; GUTERRES, R. H.; PERUSATO, C. F.; ZINGANO, P. R. High order asymptotic inequalities for some dissipative systems, NONLINEAR ANALYSIS, v.244, 2024. ArXiv Link.
BRANDOLESE, L; PERUSATO, C. F.; ZINGANO, P. R. On the topological size of the class of Leray solutions with algebraic decay, BULLETIN OF THE LONDON MATHEMATICAL SOCiETY., V. 57, p. 59-71, 2024. ArXiv Link
BRAZ E SILVA, P.; GUILLÉN-GONZÁLEZ, F; PERUSATO, C. F.; RODRÍGUEZ-BELLIDO, M. A. Bilinear optimal control of the Keller-Segel logistic model in 2D-domains. APPLIED MATHEMATICS AND OPTIMIZATION, v. 87, p. 55, 2023. ArXiv Link.
GUTERRES, R.; NICHE, C.; PERUSATO, C. F.; ZINGANO, P. Upper and lower Hm estimates for solutions to parabolic equations, JOURNAL OF DIFFERENTIAL EQUATIONS, v. 356, p. 407-431, 2023. ArXiv Link.
CRUZ, F. W. ; PERUSATO, C. F. ; ROJAS-MEDAR, M.A. ; ZINGANO, P. R. . Large time behavior for MHD micropolar fluids in Rn. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 312, p. 1-44, 2022. Link.
NICHE, CÉSAR J. ; PERUSATO, CILON F. . Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 73, p. 48, 2022. ArXiv Link.
GUTERRES, ROBERT ; MELO, WILBERCLAY G. ; NUNES, JULIANA ; PERUSATO, CILON F. Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces. MONATSHEFTE FUR MATHEMATIK, v. 192, p. 591-613, 2020. Link
MELO, WILBERCLAY G. ; PERUSATO, CILON F. ; GUTERRES, ROBERT H. ; NUNES, JULIANA R. . Large Time Decay for the Magnetohydrodynamics System in Hs(Rn). ACTA APPLICANDAE MATHEMATICAE, v. 168, p. 1-16, 2020. Link.
GUTERRES, R.H. ; NUNES, J.R. ; PERUSATO, C.F. . On the large time decay of global solutions for the micropolar dynamics in. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 45, p. 789-798, 2019. Link.
GUTERRES, R.H. ; MELO, W.G. ; NUNES, J.R ; PERUSATO, C.F. . On the large time decay of asymmetric flows in homogeneous Sobolev spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 471, p. 88-101, 2019. Link.
MELO, W. G. ; PERUSATO, C. F. ; ROCHA, N. F. . On local existence, uniqueness and blow-up of solutions for the generalized MHD equations in Lei-Lin spaces. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (ELECTRONIC ED.), v. 70, p. 74-98, 2019. Link.
PERUSATO, C. F. ; MELO, W. G. ; GUTERRES, R. H. ; NUNES, J. R. . Time asymptotic profiles to the magneto-micropolar system. APPLICABLE ANALYSIS, v. 99, p. 2678-2691, 2019. Link.
GUTERRES, ROBERT H. ; NUNES, JULIANA R. ; PERUSATO, CILON F. . Decay rates for the magneto-micropolar system in L² (Rn). ARCHIV DER MATHEMATIK, v. 111, p. 431-442, 2018. Link.