The Cauchy problem for general nonlinear wave equations with doubly dispersive
Yue Pang, Xiaotong Qiu, Runzhang Xu, Yanbing Yang
Abstract
<p>This paper focuses on a class of generalized nonlinear wave equations with doubly dispersive over equation whole lines. By employing the potential well theory, we classify the initial profile such that the solution blows up or globally exists.</p>
Topics & Concepts
Dispersive partial differential equationNonlinear systemClass (philosophy)MathematicsCauchy problemCauchy distributionMathematical analysisWave equationInitial value problemApplied mathematicsMathematical physicsPhysicsPartial differential equationComputer scienceQuantum mechanicsArtificial intelligenceAdvanced Mathematical Physics ProblemsNonlinear Waves and SolitonsNavier-Stokes equation solutions