91 citations · 512 across the 65 of their papers we have counts for
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math.AP2014★ 54 cited
Unique Conservative Solutions to a Variational Wave Equation
Alberto Bressan, Geng Chen, Qingtian Zhang
Relying on the analysis of characteristics, we prove the uniqueness of conservative solutions to the variational wave equation . Given a solution $u(t,x)…
math.AP2014
Representation of Dissipative Solutions to a Nonlinear Variational Wave Equation
Alberto Bressan, Tao Huang
The paper introduces a new way to construct dissipative solutions to a second order variational wave equation. By a variable transformation, from the nonlinear PDE one obtains a se…
math.AP2014★ 1 cited
Uniqueness of Conservative Solutions to the Camassa-Holm Equation via Characteristics
Alberto Bressan, Geng Chen, Qingtian Zhang
The paper provides a direct proof the uniqueness of solutions to the Camassa-Holm equation, based on characteristics. Given a conservative solution , an equation is intro…