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13 papers · 2 filters
Blow up solutions for Sinh-Gordon equation with residual mass
Weiwei Ao, Aleks Jevnikar, Wen Yang
We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where bot…
The Kinetic Fokker-planck Equation With Mean Field Interaction
Arnaud Guillin, Wei Liu, Liming Wu +1
We study the long time behaviour of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fkker-Planck equation. We prove a uniform (in…
Stability of Multidimensional Thermoelastic Contact Discontinuities
Gui-Qiang G. Chen, Paolo Secchi, Tao Wang
We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent…
Well-Posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics
Yuri Trakhinin, Tao Wang
We consider the free boundary problem for non-relativistic and relativistic ideal compressible magnetohydrodynamics in two and three spatial dimensions with the total pressure vani…
Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow
Liang Guo, Ning Jiang, Fucai Li +2
Ericksen and Leslie proposed a hydrodynamic model for liquid crystals in the format of conservation laws in the 1960s. Their original model includes inertial and compressibility ef…
Observability inequalities for the heat equation with bounded potentials on the whole space
Yueliang Duan, Lijuan Wang, Can Zhang
In this paper we establish an observability inequality for the heat equation with bounded potentials on the whole space. Roughly speaking, such a kind of inequality says that the t…