Gael Diebou Yomgne

RG Analysis and Partial Differential Equations

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• I am a graduate student in the Analysis and Partial Differential Equations group. My PhD advisor is Prof. Dr. Herbert Koch

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Research Interests

• Partial Differential Equations
• Harmonic Analysis and Function spaces
• Fluid dynamics

Publications and Preprints

• Existence and regularity of solutions to stationary Navier-Stokes equations arising from irregular data, Submitted. (Link)
• Well-posedness for chemotaxis-fluid models in arbitrary dimensions, Nonlinearity 35 (2022), 6241-6283. (Link)
• (With Herbert Koch) Dirichlet problem for weakly harmonic maps with rough data, Comm. Partial Differential Equations 47:7 (2022), 1504-1535. (Link)
• On the generalized parabolic Hardy-Henon equation: Existence, blow-up, self-similarity and large-time asymptotic behavior, Differential Integral Equations 35(1/2) (2022), 57–88. (Link)
• On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half-space, Comm. Pure Applied Analysis 21(2) (2022), 517-539. (Link)
• Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials, Nonlinear Analysis 215 (2022), 112623. (Link)

Works in preparation

• (With L. Slavíková and A. Cianchi) Strongly nonlinear Robin problems for the polyharmonic equation.
• Stability of stationary solutions to incompressible nematic liquid crystal flows.

CV

• Here is my CV

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Last update: by Gael Diebou Yomgne