Results 41 to 50 of about 6,843,871 (313)
Advanced Nonlinear Studies, 2022 The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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Global Existence for Nonlinear Diffusion Equations
Journal of Mathematical Analysis and Applications, 1995 The Dirichlet problem for degenerate reaction-diffusion-convection equations in space-dimension one is considered. Global existence of nonnegative solutions is studied. The role of convection in yielding global existence is analyzed in the special case when none of the three nonlinearities depends explicitly on \(x\) and \(t\).
Anderson, J.R., Deng, K.
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Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering [PDF]
, 2015 We develop inverse scattering for the derivative nonlinear Schrödinger equation (DNLS) on the line using its gauge equivalence with a related nonlinear dispersive equation.
Jiaqi Liu, P. Perry, C. Sulem
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential
Advances in Nonlinear Analysis, 2019 The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of
Zhang Mingyou, Ahmed Md Salik
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Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity [PDF]
Opuscula Mathematica, 2020 In this paper we consider the semilinear wave equation with the multiplication of logarithmic and polynomial nonlinearities. We establish the global existence and finite time blow up of solutions at three different energy levels (\(E(0)\lt d\), \(E(0)=d\)
Wei Lian, Md Salik Ahmed, Runzhang Xu
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Global existence of nonlinear elastic waves [PDF]
Inventiones Mathematicae, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global existence for a degenerate haptotaxis model of cancer invasion [PDF]
, 2015 We propose and study a strongly coupled PDE–ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix.
A. Zhigun, C. Surulescu, Aydar Uatay
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Chemoimmunotherapy with irinotecan, temozolomide, and dinutuximab (I/T/DIN) has emerged as first‐line therapy for relapsed/refractory (r/r) high‐risk neuroblastoma (HRNB) in North America. Topotecan and cyclophosphamide (T/C) are often used in combination with dinutuximab in the setting of lack of response, progression, or incomplete ...
Benjamin J. Lerman +17 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov +2 more
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