Titlebook: Mathematics for Nonlinear Phenomena — Analysis and Computation; In Honor of Yoshikaz Yasunori Maekawa,Shuichi Jimbo Conference proceedings

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Spatial Lipschitz Continuity of Viscosity Solution to Level Set Equation for Evolving Spirals by Eiity solutions to the level set equation for the evolving spirals provided that a suitable approximation of initial data exists. It is established with Bernstein’s method for regularized equation approximating the level set equation, and limiting procedure of solutions tending the approximating param

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A Hyperbolic Obstacle Problem with an Adhesion Force,lm attached to a water surface or a droplet motion on a planner surface. The surface acts as an obstacle and there may exist adhesion forces when the film or the droplet detach from the obstacle. We consider the case with a positive contact angle in an equilibrium state. We also calculate the moving

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Analysis of a Living Fluid Continuum Model,llposedness and stability in the .-setting are derived. Due to the presence of a Swift-Hohenberg term, global wellposedness in a strong setting for arbitrary initial data in . is available. Based on the existence of global strong solutions, results on linear and nonlinear (in-) stability for the dis

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A Note on Regularity Criteria for Navier-Stokes System,We use some interpolation inequalities on Besov spaces to show a regularity criterion for .-dimensional Navier-Stokes system.

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Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles,Obstacle problems for mean curvature flow equations are concerned. Existence of Lipschitz continuous viscosity solutions are obtained under several hypotheses. Comparison principle globally in time is also discussed.

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Energy Solutions to One-Dimensional Singular Parabolic Problems with , Data are Viscosity SolutionsWe study one-dimensional very singular parabolic equations with periodic boundary conditions and initial data in ., which is the energy space. We show existence of solutions in this energy space and then we prove that they are viscosity solutions in the sense of Giga–Giga.

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Yasunori Maekawa,Shuichi JimboShowcases a strong selection of papers and recent research presented at the 2015 conferences.Illustrates recent developments in analysis and computation.Perfect for graduate students and researchers i