Mathematical and Numerical Analysis on Nonlinear PDEs
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Hiroyuki Takamura
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Tohoku University
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Japan
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Ning-An Lai
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Zhejiang Normal University
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Peoples Rep of China
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Takiko Sasaki
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Musashino University
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Japan
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Introduction:
| | This special session is focused on nonlinear partial differential equations in both mathematical and numerical viewpoints. Our aim is to foster exchanges among researchers by providing a platform for sharing methodologies, motivations and perspectives. We are also seeking stimulate collaborations and advances on interconnected fields. More practically, for the mathematical analysis part, we are mainly interested in the blow-up, the existence and asymptotic behaviors of solutions of hyperbolic equations including lifespan estimates, but wide kinds of equations are also targeted. We do not only understand new results but also look for proofs with affinity to numerical analysis. Besides them, nonlinear discrete equations and related disciplines are considered in the numerical analysis part including discretization of nonlinear integrable systems, difference schemes and analysis for blowing-up problems, the direction of a bifurcating branch, stability of stationary solutions of nonlocal equations and the rescaling method for quenching problems.
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